Alexander Petrovich Veselov (on his 60th birthday)

V. E. Adler   ; Yu. Yu. Berest   ; V. M. Buchstaber   ; P. G. Grinevich   ; B. A. Dubrovin   ; I. M. Krichever   ; S. P. Novikov   ; A. N. Sergeev   ; M. V. Feigin   ; J. Felder   ; E. V. Ferapontov   ; O. A. Chalykh   ; P. I. Etingof

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 71 (2016) no. 6, pp. 1159-1176

Bibliographie

[1] “O gamiltonovom formalizme dlya uravnenii Novikova–Krichevera kommutativnosti dvukh operatorov”, Funkts. analiz i ego pril., 13:1 (1979), 1–7 | MR | Zbl

[2] “O skobkakh Puassona, sovmestimykh s algebraicheskoi geometriei i dinamikoi Kortevega–de Friza na mnozhestve konechnozonnykh potentsialov”, Dokl. AN SSSR, 266:3 (1982), 533–537 (with S. P. Novikovym) | MR | Zbl

[3] “Skobki Puassona i kompleksnye tory”, Algebraicheskaya geometriya i ee prilozheniya, Sbornik statei, Tr. MIAN SSSR, 165, 1984, 49–61 (with S. P. Novikovym) ; “Poisson brackets and complex tori”, Proc. Steklov Inst. Math., 165 (1985), 53–65 (with S. P. Novikov) | MR | Zbl

[4] “Konechnozonnye dvumernye operatory Shrëdingera. Potentsialnye operatory”, Dokl. AN SSSR, 279:4 (1984), 784–788 (with S. P. Novikovym) | MR | Zbl

[5] “Konechnozonnye dvumernye potentsialnye operatory Shrëdingera. Yavnye formuly i evolyutsionnye uravneniya”, Dokl. AN SSSR, 279:1 (1984), 20–24 (with S. P. Novikovym) | MR | Zbl

[6] “Klassifikatsiya plenok”, Kvant, 1984, no. 2, 16–21

[7] “Elementarnye funktsii”, Kvant, 1984, no. 9, 9–14 (with S. Gindikinym)

[8] “O matematike garmonicheskikh kolebanii”, Kvant, 1986, no. 5, 9–13, 43

[9] “Integrirovanie statsionarnoi zadachi dlya klassicheskoi spinovoi tsepochki”, TMF, 71:1 (1987), 154–159 | MR

[10] “Integriruemye otobrazheniya i algebry Li”, Dokl. AN SSSR, 292:6 (1987), 1289–1291 | MR | Zbl

[11] “Integriruemye sistemy s diskretnym vremenem i raznostnye operatory”, Funkts. analiz i ego pril., 22:2 (1988), 1–13 | MR | Zbl

[12] “Gruppa Kremony i dinamicheskie sistemy”, Matem. zametki, 45:3 (1989), 118–120 | MR | Zbl

[13] “Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space”, J. Geom. Phys., 7:1 (1990), 81–107 | DOI | MR | Zbl

[14] “Commutative rings of partial differential operators and Lie algebras”, Comm. Math. Phys., 126:3 (1990), 597–611 (with O. A. Chalykh) | DOI | MR | Zbl

[15] “Integriruemye lagranzhevy sootvetstviya i faktorizatsiya matrichnykh mnogochlenov”, Funkts. analiz i ego pril., 25:2 (1991), 38–49 | MR | Zbl

[16] “O roste chisla obrazov tochki pri iteratsiyakh mnogoznachnogo otobrazheniya”, Matem. zametki, 49:2 (1991), 29–35 | MR | Zbl

[17] “Integriruemye otobrazheniya”, UMN, 46:5(281) (1991), 3–45 | MR | Zbl

[18] “What is an integrable mapping?”, What is integrability?, Springer Ser. Nonlinear Dynam., Springer-Verlag, Berlin, 1991, 251–272 | DOI | MR | Zbl

[19] “Discrete versions of some classical integrable systems and factorization of matrix polynomials”, Comm. Math. Phys., 139:2 (1991), 217–243 (with J. Moser) | DOI | MR | Zbl

[20] “Growth and integrability in the dynamics of mappings”, Comm. Math. Phys., 145:1 (1992), 181–193 | DOI | MR | Zbl

[21] “Odevayuschaya tsepochka i spektralnaya teoriya operatora Shrëdingera”, Funkts. analiz i ego pril., 27:2 (1993), 1–21 (with A. B. Shabatom) | MR | Zbl

[22] “Integrability in the theory of Schrödinger operator and harmonic analysis”, Comm. Math. Phys., 152:1 (1993), 29–40 (with O. A. Chalykh) | DOI | MR | Zbl

[23] “Algebraicheskaya integriruemost dlya uravneniya Shredingera i gruppy, porozhdennye otrazheniyami”, TMF, 94:2 (1993), 253–275 (with K. L. Styrkasom, O. A. Chalykh) | MR | Zbl

[24] “Printsip Gyuigensa i gruppy Kokstera”, UMN, 48:3(291) (1993), 181–182 (with Yu. Yu. Berestom) | MR | Zbl

[25] “Problema Adamara i gruppy Kokstera: novye primery gyuigensovykh uravnenii”, Funkts. analiz i ego pril., 28:1 (1994), 3–15 (with Yu. Yu. Berestom) | MR | Zbl

[26] “Printsip Gyuigensa i integriruemost”, UMN, 49:6(300) (1994), 7–78 (with Yu. Yu. Berestom) | MR | Zbl

[27] “Elliptic Dunkl operators, root systems, and functional equations”, Duke Math. J., 76:3 (1994), 885–911 (with V. M. Buchstaber, G. Felder) | DOI | MR | Zbl

[28] “Shift operators for the quantum Calogero–Sutherland problems via Knizhnik–Zamolodchikov equation”, Comm. Math. Phys., 160:2 (1994), 259–273 (with G. Felder) | DOI | MR | Zbl

[29] “Kvantovaya zadacha Kalodzhero, uravnenie Knizhnika–Zamolodchikova i printsip Gyuigensa”, TMF, 98:3 (1994), 524–535 | MR | Zbl

[30] “Faktorizatsiya i puassonovy sootvetstviya”, TMF, 105:2 (1995), 225–245 (with A. P. Fordi, A. B. Shabatom) | MR | Zbl

[31] “Integrable correspondences and algebraic representations of multivalued groups”, Int. Math. Res. Not. IMRN, 1996:8 (1996), 381–400 (with V. M. Buchstaber) | DOI | MR | Zbl

[32] “On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera”, Math. Z., 223:4 (1996), 595–607 (with V. M. Buchstaber) | DOI | MR | Zbl

[33] “Integrability and Huygens' principle on symmetric spaces”, Comm. Math. Phys., 178:2 (1996), 311–338 (with O. A. Chalykh) | DOI | MR | Zbl

[34] “Novye integriruemye deformatsii kvantovoi zadachi Kalodzhero–Mozera”, UMN, 51:3(309) (1996), 185–186 (with M. V. Feiginym, O. A. Chalykh) | DOI | MR | Zbl

[35] “New integrable generalizations of Calogero–Moser quantum problem”, J. Math. Phys., 39:2 (1998), 695–703 (with O. Chalykh, M. Feigin) | DOI | MR | Zbl

[36] “O singulyarnostyakh potentsialov tochno reshaemykh uravnenii Shrëdingera i probleme Adamara”, UMN, 53:1(319) (1998), 211–212 (with Yu. Yu. Berestom) | DOI | MR | Zbl

[37] “Huygens' principle and integrability”, European congress of mathematics (Budapest, 1996), v. II, Progr. Math., 169, Birkhäuser, Basel, 1998, 259–275 | MR | Zbl

[38] “Monodromy of the matrix Schrödinger equations and Darboux transformations”, J. Phys. A, 31:23 (1998), 5315–5326 (with V. M. Goncharenko) | DOI | MR | Zbl

[39] “Multidimensional Baker–Akhiezer functions and Huygens' principle”, Comm. Math. Phys., 206:3 (1999), 533–566 (with O. A. Chalykh, M. V. Feigin) | DOI | MR | Zbl

[40] “Deformations of the root systems and new solutions to generalised WDVV equations”, Phys. Lett. A, 261:5-6 (1999), 297–302 | DOI | MR | Zbl

[41] “On the structure of singularities of integrable Schrödinger operators”, Lett. Math. Phys., 52:2 (2000), 103–111 (with Yu. Berest) | DOI | MR | Zbl

[42] “Locus configurations and $\vee$-systems”, Phys. Lett. A, 285:5-6 (2001), 339–349 (with O. A. Chalykh) | DOI | MR | Zbl

[43] “Two-dimensional ‘discrete hydrodynamics’ and Monge–Ampère equations”, Ergodic Theory Dynam. Systems, 22:5 (2002), 1575–1583 (with J. Moser) ; preprint, ETH, Zürich, 1993, 7 pp. | DOI | MR | Zbl

[44] “Quasi-invariants of Coxeter groups and $m$-harmonic polynomials”, Int. Math. Res. Not. IMRN, 2002:10 (2002), 521–545 (with M. Feigin) | DOI | MR | Zbl

[45] “Quasi-invariants and quantum integrals of the deformed Calogero–Moser systems”, Int. Math. Res. Not. IMRN, 2003:46 (2003), 2487–2511 (with M. Feigin) | DOI | MR | Zbl

[46] “Action of Coxeter groups on $m$-harmonic polynomials and Knizhnik–Zamolodchikov equations”, Mosc. Math. J., 3:4 (2003), 1269–1291 (with G. Felder) | MR | Zbl

[47] “Lax matrices for Yang–Baxter maps”, J. Nonlinear Math. Phys., 10, suppl. 2 (2003), 223–230 (with Yu. B. Suris) | DOI | MR

[48] “Yang–Baxter maps and matrix solitons”, New trends in integrability and partial solvability, NATO Sci. Ser. II Math. Phys. Chem., 132, Kluwer Acad. Publ., Dordrecht, 2004, 191–197 (with V. M. Goncharenko) | DOI | MR | Zbl

[49] “Cauchy problem for integrable discrete equations on quad-graphs”, Acta Appl. Math., 84:2 (2004), 237–262 (with V. E. Adler) | DOI | MR | Zbl

[50] “Deformed quantum Calogero–Moser problems and Lie superalgebras”, Comm. Math. Phys., 245:2 (2004), 249–278 (with A. N. Sergeev) | DOI | MR | Zbl

[51] Poisson Lie groups and Hamiltonian theory of the Yang–Baxter maps, 2005 (with N. Reshetikhin), 9 pp., arXiv: math/0512328v2

[52] “Coxeter group actions on the complement of hyperplanes and special involutions”, J. Eur. Math. Soc. (JEMS), 7:1 (2005), 101–116 (with G. Felder) | DOI | MR | Zbl

[53] “Generalised discriminants, deformed Calogero–Moser–Sutherland operators and super-Jack polynomials”, Adv. Math., 192:2 (2005), 341–375 (with A. N. Sergeev) | DOI | MR | Zbl

[54] “Coincident root loci and Jack and Macdonald polynomials for special values of the parameters”, Jack, Hall–Littlewood and Macdonald polynomials, Contemp. Math., 417, Amer. Math. Soc., Providence, RI, 2006, 207–225 (with M. Kasatani, T. Miwa, A. N. Sergeev) | DOI | MR | Zbl

[55] “Yang–Baxter maps and symmetries of integrable equations on quad-graphs”, J. Math. Phys., 47:8 (2006), 083502 (with V. G. Papageorgiou, A. G. Tongas), 16 pp. | DOI | MR | Zbl

[56] “Yang–Baxter maps: dynamical point of view”, Combinatorial aspect of integrable systems, MSJ Mem., 17, Math. Soc. Japan, Tokyo, 2007, 145–167 | MR | Zbl

[57] “Polynomial solutions of the Knizhnik–Zamolodchikov equations and Schur–Weyl duality”, Int. Math. Res. Not. IMRN, 2007:15 (2007), rnm046 (with G. Felder), 21 pp. | DOI | MR | Zbl

[58] “Logarithmic Frobenius structures and Coxeter discriminants”, Adv. Math., 212:1 (2007), 143–162 (with M. V. Feigin) | DOI | MR | Zbl

[59] “On the geometry of $\vee$-systems”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 224, Amer. Math. Soc., Providence, RI, 2008, 111–123 (with M. V. Feigin) | DOI | MR | Zbl

[60] “Periodic continued fractions and hyperelliptic curves”, J. Lond. Math. Soc. (2), 77:3 (2008), 593–606 (with M.-P. Grosset) | DOI | MR | Zbl

[61] “Koe-chto iz togo, chemu ya nauchilsya u Yurgena Mozera”, Nelineinaya dinam., 5:1 (2009), 39–51

[62] “Baker–Akhiezer function as iterated residue and Selberg-type integral”, Glasg. Math. J., 51:A (2009), 59–73 (with G. Felder) | DOI | MR | Zbl

[63] “Deformed Macdonald–Ruijsenaars operators and super Macdonald polynomials”, Comm. Math. Phys., 288:2 (2009), 653–675 (with A. N. Sergeev) | DOI | MR | Zbl

[64] “$BC_{\infty}$ Calogero–Moser operator and super Jacobi polynomials”, Adv. Math., 222:5 (2009), 1687–1726 (with A. N. Sergeev) | DOI | MR | Zbl

[65] “On quadrirational Yang–Baxter maps”, SIGMA, 6 (2010), 033 (with V. G. Papageorgiou, Yu. B. Suris, A. G. Tongas), 9 pp. | DOI | MR | Zbl

[66] “On elliptic Calogero–Moser systems for complex crystallographic reflection groups”, J. Algebra, 329 (2011), 107–129 (with P. Etingof, G. Felder, X. Ma) | DOI | MR | Zbl

[67] “Gaudin subalgebras and stable rational curves”, Compos. Math., 147:5 (2011), 1463–1478 (with L. Aguirre, G. Felder) | DOI | MR | Zbl

[68] “Euler characters and super Jacobi polynomials”, Adv. Math., 226:5 (2011), 4286–4315 (with A. N. Sergeev) | DOI | MR | Zbl

[69] “Grothendieck rings of basic classical Lie superalgebras”, Ann. of Math. (2), 173:2 (2011), 663–703 (with A. N. Sergeev) | DOI | MR | Zbl

[70] “Jack–Laurent symmetric functions”, Proc. Lond. Math. Soc. (3), 111:1 (2015), 63–92 (with A. N. Sergeev) | DOI | MR | Zbl

[71] “Dunkl operators at infinity and Calogero–Moser systems”, Int. Math. Res. Not. IMRN, 2015:21 (2015), 10959–10986 (with A. N. Sergeev) | DOI | Zbl

[72] “Jack–Laurent symmetric function for special values of the parameters”, Glasg. Math. J., 58:3 (2016), 599–616 (with A. N. Sergeev) | DOI | MR | Zbl

[73] “Gaudin subalgebras and wonderful models”, Selecta Math. (N. S.), 22:3 (2016), 1057–1071 (with L. Aguirre, G. Felder) | DOI | MR | Zbl

[74] “$\vee$-systems, holonomy Lie algebras, and logarithmic vector fields”, Int. Math. Res. Not. IMRN, 2017 (2017), rnw289 (with M. V. Feigin), 29 pp. | DOI