Selected works of P. P. Kulish

Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 23, Tome 433 (2015), pp. 8-19

Bibliographie

[1] Mathematical Notes, 4:6 (1968), 895–899 | DOI | MR | Zbl

[2] Theoretical and Mathematical Physics, 4:2 (1970), 745–757 | Zbl

[3] P. P. Kulish, Zakony sokhraneniya dlya uravneniya sinus-Gordon, preprint IFVE-74-155, IFVE, Serpukhov, 1974

[4] Theoretical and Mathematical Physics, 6:1 (1971), 18–23 | DOI

[5] Theoretical and Mathematical Physics, 17:1 (1973), 945–955 | DOI | MR | Zbl

[6] E. V. Damaskinskii, P. P. Kulish, “O svoistvakh ppedstavlenii ob'edinennoi kalibpovochnoi gpuppy”, Tezisy dokladov vsesoyuznogo simpoziuma “Noveishie problemy gravitatsii”, VNIIFTRI, Moskva, 1973, 4–5

[7] Theoretical and Mathematical Physics, 18:1 (1974), 36–38 | DOI

[8] Theoretical and Mathematical Physics, 21:2 (1974), 1065–1073 | DOI

[9] JETP Lett., 21:5 (1975), 138–139

[10] L. D. Faddeev, V. E. Korepin, P. P. Kulish, “Soliton quantization”, Solitons and Particles, eds. C. Rebbi, G. Soliani, 1975, 319–320

[11] E. V. Damaskinskii, P. P. Kulish, “Gpuppa tokov modeli Tippinga i eë ppedstavleniya”, Izvestiya VUZov, ser. Fizika, 1975, no. 11, 57–62 | MR

[12] Theoretical and Mathematical Physics, 26:2 (1976), 132–137 | DOI | MR

[13] Theoretical and Mathematical Physics, 28:1 (1976), 615–620 | DOI | MR

[14] Theoretical and Mathematical Physics, 29:2 (1976), 992–998 | DOI | MR | Zbl

[15] P. P. Kulish, E. R. Nisimov, “Zakony sokhraneniya v kvantovoi teorii $\cos\phi$ v dvukh izmereniyakh i v massivnoi modeli Tirringa”, Pisma v ZhETF, 24:4 (1976), 247–250

[16] E. V. Damaskinskii, P. P. Kulish, “Unitapnye ppedstavleniya gpuppy Bondi–Mettsnepa–Saksa”, Sb. nauchnykh tpudov "Klassicheskaya i kvantovaya teoriya gravitatsii, AN BSSR, Minsk, 1976, 1–2

[17] Theoretical and Mathematical Physics, 33:2 (1977), 1016–1018 | DOI | MR | Zbl

[18] Journal of Soviet Mathematics, 22:5 (1983), 1586–1592 | DOI | MR | Zbl | Zbl

[19] Journal of Soviet Mathematics, 22:5 (1983), 1608–1620 | DOI | MR

[20] Journal of Soviet Mathematics, 22:5 (1983), 1620–1627 | DOI | MR

[21] Journal of Soviet Mathematics, 22:5 (1983), 1627–1637 | DOI | MR | Zbl | Zbl

[22] P. P. Kulish, L. D. Faddeev, “Quantization of particlelike solutions in field theory”, Mathematical Problems in Theoretical Physics, Proceedings of the Rome conference (Berlin, 1977), Berlin, 1978, 270–278 | MR

[23] M. Chaichian, P. P. Kulish, “On the method of inverse scattering problem and Backlund transformations for supersymmetric equations”, Physics Letters B, 78:4 (1978), 413–416 | DOI

[24] P. P. Kulish, A. G. Izergin, “On the inverse scattering method for the classical massive Thirring model with anticommuting variables”, Lett. Math. Phys., 2 (1978), 297–302 | DOI | MR

[25] Theoretical and Mathematical Physics, 39:1 (1979), 327–331 | DOI | MR

[26] P. P. Kulish, E. K. Sklyanin, “Quantum inverse scattering method and the Heisenberg ferromagnet”, Physics Letters A, 70:5/6 (1979), 461–463 | DOI | MR

[27] P. P. Kulish, Generalized Bethe ansatz and quantum inverse problem method, Preprint LOMI-P-3-79, Steklov Math. Inst., Leningrad, 1979

[28] Theoretical and Mathematical Physics, 44:3 (1980), 784–795 | DOI | MR | Zbl

[29] Theoretical and Mathematical Physics, 44:2 (1980), 684–687 | DOI | MR

[30] P. P. Kulish, “Mnogokomponentnoe nelineinoe uravnenie Shredingera s graduirovannymi matritsami”, DAN SSSR, 255:2 (1980), 323–326 | MR

[31] Journal of Soviet Mathematics, 19:5 (1982), 1596–1620 | DOI | MR | Zbl

[32] Journal of Soviet Mathematics, 21:5 (1983), 718–723 | DOI | MR | Zbl | Zbl

[33] P. P. Kulish, S. A. Tsyplyev, “Calculation of the Poisson brackets of scattering data in the inverse problem method”, Generalized functions and their applications in mathematical physics, ed. V. S. Vladimirov, Moscow, 1980, 309-315 | MR

[34] P. P. Kulish, E. K. Sklyanin, “Quantum spectral transform method. Recent developments”, Lecture Notes in Physics, 151, Springer, 1981, 61–119 | DOI | MR

[35] V. S. Gerdjikov, P. P. Kulish, “The generating operator for the $n\times n$ linear system”, Physica D: Nonlinear Phenomena, 3:3 (1981), 549–564 | DOI | MR | Zbl

[36] P. P. Kulish, E. K. Sklyanin, “$O(N)$-invariant nonlinear Schrödinger equation – a new completely integrable system”, Phys. Lett. A, 84:7 (1981), 349–352 | DOI | MR

[37] Sov. Phys. JETP, 53:1 (1981), 108–121 | MR

[38] P. P. Kulish, N. Yu. Reshetikhin, E. K. Sklyanin, “Yang-Baxter equation and representation theory: I”, Lett. Math. Phys., 5 (1981), 393–403 | DOI | MR | Zbl

[39] Journal of Soviet Mathematics, 23:4 (1983), 2400–2412 | DOI | MR | Zbl

[40] Journal of Soviet Mathematics, 23:4 (1983), 2435–2441 | DOI | MR

[41] Journal of Soviet Mathematics, 24:2 (1984), 208–215 | DOI | MR | Zbl | Zbl

[42] Theoretical and Mathematical Physics, 46:2 (1981), 114–124 | DOI | MR

[43] P. P. Kulish, E. K. Sklyanin, “Quantum spectral transform method. Recent developments”, Lecture Notes in Physics, 151, Springer, 1981, 61–119 | DOI | MR

[44] P. P. Kulish, “Quantum inverse problem method and exactly solvable models of statistical physics”, Proceedings of the II International Symposium on Selected Topics in Statistical Mechanics, Dubna, 1981, 147–157

[45] P. P. Kulish, “Quantum difference nonlinear Schrödinger equation”, Lett. Math. Phys., 5 (1981), 191–197 | DOI | MR | Zbl

[46] Journal of Soviet Mathematics, 28:5 (1985), 705–713 | DOI | MR | Zbl | Zbl

[47] Journal of Soviet Mathematics, 37:4 (1985), 1207–1225 | MR

[48] Journal of Soviet Mathematics, 37:4 (1985), 1226–1235 | MR

[49] Theoretical and Mathematical Physics, 51:3 (1982), 535–540 | DOI | MR

[50] P. P. Kulish, F. A. Smirnov, “Quantum inverse problem and Green functions for the Heisenberg ferromagnet”, Physics Letters A, 90:1/2 (1982), 74–78 | DOI | MR

[51] P. P. Kulish, N. Yu. Reshetikhin, “Diagonalisation of $\mathrm{GL}(N)$ invariant transfer matrices and quantum $N$-wave system (Lee model)”, Journal of Physics A: Mathematical and General, 16:16 (1983), L591–L596 | DOI | MR | Zbl

[52] A. P. Fordy, P. P. Kulish, “Nonlinear Schrödinger equations and simple Lie algebras”, Commun. Math. Phys., 89 (1983), 427–443 | DOI | MR | Zbl

[53] P. P. Kulish, A. G. Reiman, “Gamiltonova struktura polinomialnykh puchkov”, Differentsialnaya geometriya, gruppy Li i mekhanika. V, Zap. nauchn. sem. LOMI, 123, Izd-vo Nauka, Leningrad. otd., L., 1983, 67–76 | MR | Zbl

[54] V. S. Gerdzhikov, P. P. Kulish, “O mnogokomponentnom nelineinom uravnenii Shredingera v sluchae nenulevykh granichnykh uslovii”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 4, Zap. nauchn. semin. LOMI, 131, Izd-vo Nauka, Leningrad. otd., L., 1983, 34–46 | MR | Zbl

[55] P. P. Kulish, “Quantum spectral transform”, Critical Phenomena, Proceedings, Poiana Brasov, 1983, 351–374 | MR

[56] P. P. Kulish, N. Yu. Reshetikhin, “Integriruemye fermionnye kiralnye modeli, svyazannye s klassicheskimi algebrami Li”, Differentsialnaya geometriya, gruppy Li i mekhanika. VI, Zap. nauchn. semin. LOMI, 133, Izd-vo Nauka, Leningrad. otd., L., 1984, 146–159 | MR | Zbl

[57] V. S. Gerdjikov, M. I. Ivanov, P. P. Kulish, “Expansions over the “squared” solutions and difference evolution equations”, J. Math. Phys., 25:1 (1984), 25–37 | DOI | MR

[58] Journal of Soviet Mathematics, 35:4 (1985), 2648–2662 | MR

[59] Journal of Soviet Mathematics, 35:4 (1985), 2543–2562 | MR | Zbl

[60] P. P. Kulish, “Quantum osp invariant nonlinear Schrödinger equation”, Lett. Math. Phys., 10:1 (1985), 87–92 | DOI | MR

[61] P. P. Kulish, F. A. Smirnov, “Uravnenii obratnoi zadachi kvantovoi sistemy trekh voln”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 6, Zap. nauchn. semin. LOMI, 150, Izd-vo Nauka, Leningrad. otd., L., 1986, 53–69 | Zbl

[62] Journal of Soviet Mathematics, 41:2 (1988), 970–975 | DOI | MR

[63] P. P. Kulish, “Quantum nonlinear wave interaction system”, Physica D, 18 (1986), 360–364 | DOI | MR | Zbl

[64] P. P. Kulish, V. D. Lipovskii, “O gamiltonovoi interpretatsii metoda obratnoi zadachi dlya uravneniya Devi–Styuartsona”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 7, Zap. nauchn. semin. LOMI, 161, Izd-vo Nauka, Leningrad. otd., L., 1987, 54–71 | MR | Zbl

[65] P. P. Kulish, V. D. Lipovskii, A. V. Shirokov, “O dannykh rasseyaniya dlya nestatsionarnogo uravneniya Diraka”, Differentsialnaya geometriya, gruppy Li i mekhanika. IX, Zap. nauchn. sem. LOMI, 164, Izd-vo Nauka, Leningrad. otd., L., 1987, 170–175 | Zbl

[66] Theoretical and Mathematical Physics, 73:1 (1987), 1121–1124 | DOI | MR

[67] M. Chaichian, P. P. Kulish, “Superconformal algebras and their relation to integrable nonlinear systems”, Physics Letters B, 183:2 (1987), 169–174 | DOI | MR

[68] P. P. Kulish, “Kvantovaya cuperalgebra $osp(2|1)$”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 8, Zap. nauchn. semin. LOMI, 169, Izd-vo Nauka, Leningrad. otd., L., 1988, 95–106 | Zbl

[69] P. P. Kulish, N. Yu. Reshetikhin, “Universal $R$-matrix of the quantum superalgebra $OSP(2|1)$”, Lett. Math. Phys., 18 (1989), 143–149 | DOI | MR | Zbl

[70] P. P. Kulish, “Quantum Lie superalgebras and supergroups”, Problems of modern quantum field theory (Alushta, 1989), Proc., eds. A. A. Belavin, et al., Springer, Berlin, 1989, 14–21 | DOI | MR

[71] P. P. Kulish, E. V. Damaskinsky, “On the $q$ oscillator and the quantum algebra $su_q(1,1)$”, J. Phys. A: Math. Gen., 23 (1990), L415–L419 | DOI | MR | Zbl

[72] Journal of Mathematical Sciences, 68:2 (1994), 212–219 | DOI | MR | Zbl | Zbl

[73] Journal of Mathematical Sciences, 68:2 (1994), 220–222 | DOI | MR | Zbl | Zbl

[74] P. P. Kulish, “Quantum Lie superalgebras and $q$-oscillators”, Phys. Lett. B, 234 (1990), 72–75 | DOI | MR

[75] M. Chaichian, D. Ellinas, P. P. Kulish, Quantum superalgebras, $q$-oscillators and applications, CERN-TH-5969-90, 1990

[76] M. Chaichian, D. Ellinas, P. P. Kulish, “Quantum algebra as dynamical symmetry of deformed Jaynes-Cummings model”, Phys. Rev. Lett., 65 (1990), 980–983 | DOI | MR | Zbl

[77] M. Boiti, P. P. Kulish, F. Pempinelli, “Scattering of Wall solitons in $(2+1)$-dimensions”, Physica D, 44 (1990), 557–564 | DOI | MR | Zbl

[78] Journal of Soviet Mathematics, 62:5 (1992), 2963–2986 | DOI | MR | Zbl | Zbl

[79] Theoretical and Mathematical Physics, 86:1 (1991), 108–110 | DOI | MR | Zbl

[80] P. P. Kulish, E. K. Sklyanin, “The general $U_q(sl(2))$ invariant $\mathrm{XXZ}$ integrable quantum spin chain”, J. Phys. A: Math. Gen., 24 (1991), L435–L439 | DOI | MR | Zbl

[81] P. P. Kulish, J. Lukierski, “Supercovariant systems of $q$ oscillators and $q$ supersymmetric Hamiltonians”, Phys. Lett. B, 262 (1991), 43–48 | DOI | MR

[82] E. Celeghini, R. Giachetti, P. P. Kulish, E. Sorace, M. Tarlini, “Hopf superalgebra contractions and R matrix for fermions”, J. Phys. A: Math. Gen., 24 (1991), 5675–5682 | DOI | MR | Zbl

[83] P. P. Kulish, “Finite-dimensional Zamolodchikov–Faddeev algebra and $q$-oscillators”, Phys. Lett. A, 161 (1991), 50–52 | DOI | MR

[84] P. P. Kulish (Ed.), Quantum groups, Proc. Euler IMI workshops (1990), Lect. Notes Math., 1510, Springer-Verlag, 1992 | DOI | MR | Zbl

[85] Journal of Mathematical Sciences, 77:2 (1995), 3069–3075 | DOI | MR | Zbl

[86] P. P. Kulish, E. K. Sklyanin, “Algebraic structures related to reflection equations”, J. Phys. A: Math. Gen., 25:22 (1992), 5963–5980 | DOI | MR

[87] P. P. Kulish, “On recent progress in quantum groups: an introductory review”, Jahrbuch Ueberblicke Mathematik (1993), eds. S. Chaterji, B. Fuchssteiner, U. Kulisch, R. Liedl, Vieweg Verlag, Braunschweig, Germany, 1993, 1–30 | MR

[88] P. P. Kulish, “Quantum algebras, $q$-deformed oscillators and related topics”, Quantum group and quantum integrable systems, Nankai Lectures Math. Phys., World Scientific, Singapore, 1992, 99–131 | MR

[89] K. Hikami, P. P. Kulish, M. Wadati, “Construction of integrable spin systems with long-range interactions”, J. Phys. Soc. Jpn., 61 (1992), 111–117 | DOI | MR

[90] P. P. Kulish, “Deformed oscillators, non-commutative geometry, Yang–Baxter and reflection equations”, Proceedings of XXI-DGMTP Conference, Tianjin, 1992

[91] Journal of Mathematical Sciences, 80:3 (1996), 1811–1817 | DOI | MR | Zbl | Zbl

[92] Theoretical and Mathematical Physics, 94:2 (1993), 137–141 | DOI | MR | Zbl

[93] P. P. Kulish, Ryu Sasaki, “Covariance Properties of Reflection Equation Algebras”, Prog. Theor. Phys., 89:3 (1993), 741–761 | DOI | MR

[94] P. P. Kulish, “Reflection equation algebras and quantum groups”, Proceedings of International Conference “Quantum and Non-Commutative Analysis”, eds. H. Araki et al., Kluwer, 1993, 207–220 | DOI | MR | Zbl

[95] P. P. Kulish, R. Sasaki, C. Schwiebert, “Constant solutions of reflection equations and quantum groups”, J. Math. Phys., 34:1 (1993), 286–304 | DOI | MR | Zbl

[96] J. A. de Azcarraga, P. P. Kulish, F. Rodenas, “Reflection equations and q-Minkowski space algebras”, Lett. Math. Phys., 32 (1994), 173–182 | DOI | MR | Zbl

[97] St. Petersburg Mathematical Journal, 6:2 (1994), 173–182 | MR | Zbl

[98] P. P. Kulish, S. Rauch-Wojciechowski, A. V. Tsiganov, “Restricted flows of the KdV hierarchy and $R$-matrix formalism”, Mod. Phys. Lett., 9:22 (1994), 1011–1018 | DOI | MR

[99] Journal of Mathematical Sciences (New York), 88:2 (1998), 208–223 | DOI | MR | Zbl | Zbl

[100] P. P. Kulish, “Yang–Baxter equation and reflection equations in integrable models”, Low-Dimensional Models in Statistical Physics and Quantum Field Theory, Proceedings of the 34 Internationale Universitatswochen fur Kern- und Teilchenphysik Schladming (Austria, March 4–11, 1995), Lecture Notes in Physics, 469, 1995, 125–144 ; arXiv: hep-th/9507070 | DOI | MR

[101] J. A. de Azcarraga, P. P. Kulish, F. Rodenas, “On the physical contents of q-deformed Minkowski spaces”, Phys. Lett. B, 351 (1995), 123–130 | DOI | MR

[102] P. P. Kulish, “Quantum group covariant algebras”, Proceedings of International School of Physics Enrico Fermi on “Quantum Groups and their Applications in Physics”, Course 127, eds. L. Castellani, J. Wess, Varenna, 1995, 203–214 | MR

[103] J. A. de Azcarraga, P. P. Kulish, F. Rodenas, “Quantum groups and deformed special relativity”, Fortschr. Phys., 44 (1996), 1–40 | DOI | MR | Zbl

[104] P. P. Kulish, S. Rauch–Wojciechowski, A. V. Tsiganov, “Stationary problems for KdV type equation and dynamical $R$-matrices”, Jour. Math. Phys., 37 (1996), 1111–1125 | DOI | MR

[105] P. P. Kulish, Quantum integrable systems, Lecture course, Royal Inst. of Technology, Stockholm, 1996

[106] Journal of Mathematical Sciences (New York), 100:2 (2000), 2039–2050 | DOI | MR | Zbl

[107] E. V. Damaskinsky, P. P. Kulish, “Irreducible representations of deformed oscillator algebra and $q$-special functions”, Inter. J. Mod. Phys. A, 12:1 (1997), 153–158 | DOI | MR | Zbl

[108] P. P. Kulish, A. Stolin, “New rational solutions of Yang–Baxter equation and deformed Yangians”, Czech. J. Phys., 47 (1997), 123–129 | DOI | MR | Zbl

[109] P. P. Kulish, A. P. Isaev, “Tetrahedron reflection equations”, Mod. Phys. Lett. A, 12 (1997), 427–437 | DOI | MR | Zbl

[110] P. P. Kulish, A. Stolin, “Deformed Yangians and integrable models”, Czechoslovak Journal of Physics, 47:12 (1997), 1207–1212 ; arXiv: q-alg/9708024 | DOI | MR | Zbl

[111] J. A. de Azcarraga, P. P. Kulish, F. Rodenas, “Twisted h-spacetimes and invariant equations”, Zeit. Phys. C, 76 (1997), 567–576 | DOI | MR

[112] P. P. Kulish, Quantum groups and their representations, Lecture course, Royal Institute of Technology, Stockholm, 1997

[113] Theoretical and Mathematical Physics, 116:1 (1998), 820–828 | DOI | DOI | MR | Zbl

[114] Journal of Mathematical Sciences (New York), 104:3 (2001), 1151–1156 | DOI | MR | Zbl

[115] P. P. Kulish, V. D. Lyakhovsky, “Classical and quantum duality in Jordanian quantizations”, Czech. J. Phys., 48:12 (1998), 111–121 | MR

[116] P. P. Kulish, “Twisting of quantum groups and integrable models”, Proceed. Lodz Conference “Particles, Fields, Gravitation”, ed. J. Rembielinski, Amer. Inst. Physics, 1998, 75–85 | MR | Zbl

[117] P. P. Kulish, V. D. Lyakhovsky, A. I. Mudrov, “Extended Jordanian twists for Lie algebras”, Jour. Math. Phys., 40:9 (1999), 4569–4581 ; arXiv: math/9806014[math.QA] | DOI | MR

[118] E. Celeghini, P. P. Kulish, “Twist deformation of rank one Lie superalgebra”, J. Phys. A, 31:4 (1998), L79–L84 | DOI | MR | Zbl

[119] Proceedings of the Steklov Institute of Mathematics, 226 (1999), 86–99 | MR | Zbl

[120] P. P. Kulish, V. D. Lyakhovsky, M. del Olmo, “Chains of twists for classical Lie algebras”, J. Phys. A, 32 (1999), 8671–8684 | DOI | MR | Zbl

[121] P. P. Kulish, A. I. Mudrov, “Universal $R$-matrix for esoteric quantum group”, Lett. Math. Phys., 47 (1999), 139–148 | DOI | MR | Zbl

[122] P. P. Kulish, “Super-jordanian deformation of the orthosymplectic Lie superalgebras”, Mod. Phys. Lett. B, 14 (1999), 111–109

[123] Journal of Mathematical Sciences (New York), 115:1 (2003), 1986–1993 | DOI | MR | Zbl

[124] Journal of Mathematical Sciences (New York), 115:1 (2003), 1994–2001 | DOI | MR | Zbl

[125] V. V. Borzov, E. V. Damaskinsky, P. P. Kulish, “On position operator spectral measure for deformed oscillator in the case of indetermine Hamburger moment problem”, Rev. Math. Phys., 12:5 (2000), 691–710 | DOI | MR | Zbl

[126] P. P. Kulish, V. D. Lyakhovsky, A. Stolin, “Full chains of twists for orthogonal algebras”, Czech. J. Phys., 48:12 (2000), 1291–1296 | DOI | MR

[127] P. P. Kulish, V. D. Lyakhovsky, “Jordanian twists on deformed carrier subspaces”, J. Phys. A, 33 (2000), L279–L285 | DOI | MR | Zbl

[128] P. P. Kulish, V. D. Lyakhovsky, M. E. Samsonov, “Twists in $U(sl_3)$ and their quantizations”, J. Phys. A, 39:6 (2006), 7669–7692 ; arXiv: math/0605392[math.QA] | DOI | MR | Zbl

[129] P. P. Kulish, “Symmetries, twisting of quantum groups and integrable models”, Proceed. NEEDS'99 Workshop “Nonlinearity, Integrability, and all that: 20 years after NEEDS'79”, eds. M. Boity, F. Pempinelli, WS, 2000, 111–115

[130] P. P. Kulish, V. D. Lyakhovsky, A. Stolin, “Chains of Frobenius subalgebras of $so(m)$ and the corresponding twists”, Jour. Math. Phys., 42:12 (2001), 5006–5019 | MR | Zbl

[131] P. P. Kulish, N. Manojlovic, “Bethe vectors of the $osp(1|2)$ Gaudin model”, Lett. Math. Phys., 42:10 (2001), 111–121 | MR

[132] P. P. Kulish, N. Manojlovic, “Creation operators and Bethe vectors of the $osp(1|2)$ Gaudin model”, Jour. Math. Phys., 42:10 (2001), 4757–4778 | DOI | MR | Zbl

[133] P. P. Kulish, A. I. Mudrov, “Quantization of inhomogeneous Lie bialgebras”, Jour. Geom. Phys., 42 (2002), 64–77 | DOI | MR | Zbl

[134] St. Petersburg Mathematical Journal, 14:3 (2003), 385–404 | MR | Zbl

[135] P. P. Kulish, A. Stolin, “Twists in Hopf algerbas and $R_1T_1T_2=T_2T_1$ relations”, Czech. J. Phys., 52:11 (2002), 1255–1260 | DOI | MR | Zbl

[136] Journal of Mathematical Sciences (New York), 125:2 (2005), 193–202 | DOI | MR | Zbl

[137] Journal of Mathematical Sciences (New York), 125:2 (2005), 203–214 | DOI | MR | Zbl

[138] Journal of Mathematical Sciences (New York), 125:2 (2005), 229–238 | DOI | MR | Zbl

[139] J. Donin, P. P. Kulish, A. I. Mudrov, “On universal solution to reflection equation”, Lett. Math. Phys., 63 (2003), 179–194 | DOI | MR | Zbl

[140] P. P. Kulish, N. Manojlovic, “Trigonometric $osp(1|2)$ Gaudin model”, Journ. Math. Phys., 44 (2003), 676–700 | DOI | MR | Zbl

[141] P. P. Kulish, Introduction to classical and quantum integrable systems, Lecture course, Institut fur Theoretische Physik, Universitat Hannover, 2003

[142] P. P. Kulish, “On spin systems related to the Temperley–Lieb algebra”, J. Phys. A, 36 (2003), L489–L493 | DOI | MR | Zbl

[143] M. Chaichian, P. P. Kulish, K. Nishijima, A. Tureanu, “On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT”, Physics Letters B, 604:1/2 (2004), 98–102 | DOI | MR | Zbl

[144] P. P. Kulish, A. M. Zeitlin, “Integrable structure of superconformal field theory and quantum super-KdV theory”, Phys. Lett. B, 581:1/2 (2004), 125–132 | DOI | MR | Zbl

[145] E. Celeghini, P. P. Kulish, “Deformation of orthosymplectic Lie super-algebra $osp(1|4)$”, J. Phys. A, 37 (2004), L211–L216 | DOI | MR | Zbl

[146] P. P. Kulish, A. I. Mudrov, “Dynamical reflection equation”, Contemporary Mathematics, 433 (2007), 281–309 | DOI | MR | Zbl

[147] M. Chaichian, P. P. Kulish, K. Nishijima, A. Tureanu, “On a Lorentz-invariant interpretation of noncommuttive space-time and its implications on noncommutative quantum field theory”, Phys. Lett. B, 604:1/2 (2004), 98–101 | DOI | MR

[148] P. P. Kulish, A. M. Zeitlin, “Superconformal field theory and SUSY $N=1$ KdV hierarchy I: Vertex operators and Yang–Baxter equation”, Phys. Lett. B, 597:1/2 (2004), 229–236 | DOI | MR | Zbl

[149] P. P. Kulish, A. M. Zeitlin, “Superconformal field theory and SUSY $N=1$ KdV hierarchy II: The $Q$-operator”, Nucl. Phys. B, 709 (2005), 578–591 | DOI | MR | Zbl

[150] Theoretical and Mathematical Physics, 142:2 (2005), 211–221 | DOI | DOI | MR | Zbl

[151] Journal of Mathematical Sciences (New York), 138:3 (2006), 5711–5721 | DOI | MR | Zbl

[152] P. P. Kulish, A. M. Zeitlin, “Quantum supersymmetric Toda-mKdV hierarches”, Nucl. Phys. B, 720 (2005), 289–306 | DOI | MR | Zbl

[153] P. P. Kulish, “Noncommuttive geometry and quantum field theory”, Contemporary Mathematics, 391 (2005), 213–221 | DOI | MR | Zbl

[154] Journal of Mathematical Sciences (New York), 143:1 (2007), 2806–2814 | DOI | MR | Zbl

[155] P. P. Kulish, A. I. Mudrov, “Baxterization of solutions to reflection equation with Hecke $R$-matrix”, Lett. Math. Phys., 75:2 (2006), 151–170 | MR | Zbl

[156] Journal of Mathematical Sciences (New York), 151:2 (2008), 2894–2900 | DOI | MR | Zbl

[157] Journal of Mathematical Sciences (New York), 151:2 (2008), 2901–2906 | DOI | MR | Zbl

[158] P. P. Kulish, M. Chaichian, K. Nishijima, A. Tureanu, “Noncommutative fields and actions of twisted Poincare algebra”, Journ. Math. Phys., 49 (2008), 042302 ; arXiv: 0711.0371 | DOI | MR | Zbl

[159] B. Aneva, M. Chaichian, P. P. Kulish, “From quantum affine symmetry to the boundary Askey–Wilson algebra and the reflection equation”, J. Phys. A, 41:13 (2008), 135201 ; arXiv: 0804.1623 | DOI | MR | Zbl

[160] Journal of Mathematical Sciences (New York), 158:6 (2009), 845–852 | DOI | MR | Zbl

[161] P. P. Kulish, V. D. Lyakhovsky, “String Functions for Affine Lie Algebras Integrable Modules”, SIGMA, 4 (2008), 085, 18 pp. | MR | Zbl

[162] P. P. Kulish, N. Manojlovic, Z. Nagy, “Quantum symmetry algebras of spin systems related to Temperley–Lieb $R$-matrices”, J. Math. Phys., 49:2 (2008), 023510 | DOI | MR | Zbl

[163] P. Aschieri, M. Dimitrijevic, P. P. Kulish, M. Lizzi, J. Wess, Noncommutative spacetimes, Springer Lect. Notes Phys., 774, 2009, VII+199 pp. | DOI | MR | Zbl

[164] St. Petersburg Mathematical Journal, 21:2 (2010), 203–216 | DOI | MR | Zbl

[165] Theoretical and Mathematical Physics, 163:2 (2010), 644–652 | DOI | DOI | Zbl

[166] Journal of Mathematical Sciences (New York), 168:6 (2010), 781–788 | DOI | MR | Zbl

[167] Journal of Mathematical Sciences (New York), 168:6 (2010), 871–880 | DOI | MR

[168] P. P. Kulish, N. Manojlovic, Z. Nagy, “Symmetries of spin systems and Birman–Wenzl–Murakami algebra”, J. Math. Phys., 51:4 (2010), 043516 ; arXiv: 0910.4036 | DOI | MR | Zbl

[169] Theoretical and Mathematical Physics, 169:2 (2011), 1530–1538 | DOI | DOI | MR | Zbl

[170] P. P. Kulish, A. I. Mudrov, “Twisting adjoint module algebras”, Lett. Math. Phys., 95 (2011), 233–248 | DOI | MR

[171] Theoretical and Mathematical Physics, 171:2 (2012), 666–674 | DOI | DOI | MR | Zbl

[172] N. M. Bogolyubov, P. P. Kulish, “Tochno-reshaemye modeli kvantovoi nelineinoi optiki”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 22, Zap. nauchn. sem. POMI, 398, POMI, SPb., 2012, 26–54 | MR

[173] P. P. Kulish, V. D. Lyakhovsky, O. V. Postnova, “Tensor powers for non-simply laced Lie algebras $B_2$-case”, Journal of Physics: Conference Series, 346 (2012), 012012 | DOI

[174] P. P. Kulish, V. D. Lyakhovsky, O. V. Postnova, “Tensor power decomposition. $B_n$ case”, Journal of Physics: Conference Series, 343 (2012), 012095 | DOI

[175] Journal of Mathematical Sciences (New York), 192:1 (2013), 14–30 | DOI | DOI | MR | Zbl

[176] P. P. Kulish, “Integrable spin chains and representation theory”, Symmetries and Groups in Contemporary Physics, Nankai Series in Pure, Applied Mathematics and Theoretical Physics, 11, 2013, 487–492 | MR | Zbl

[177] P. Kulish, A. Stolin, H. Johanesson, “Quantum Deformed Richardson-Gaudin Model”, Progress In Electromagnetics, Research Symposium Proceedings (Stockholm, Sweden, Aug. 12–15, 2013), 2013, 789–793

[178] P. Kulish, A. Stolin, L. H. Johannesson, “Deformed Richardson-Gaudin model”, Journal of Physics: Conference Series, 532 (2014), 012012 | DOI

[179] Theoretical and Mathematical Physics, 178:2 (2014), 223–238 | DOI | DOI | MR | Zbl

[180] Theoretical and Mathematical Physics, 179:1 (2014), 387–394 | DOI | DOI | MR | Zbl

[181] E. Sh. Gutshabash , P. P. Kulish, New exact solutions of the Born-Infeld model, Preprint POMI–06/2014, 2014

[182] E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov, On calculation of generating functions of generalized Chebyshev polynomials in several variables, 2015, arXiv: 1502.08000 | MR