@article{RM_2003_58_6_a22,
author = {D. N. Akhiezer and \`E. B. Vinberg and V. V. Gorbatsevich and V. G. Durnev and R. Zulanke and L. S. Kazarin and D. A. Leites and V. V. Serganova and V. M. Tikhomirov},
title = {Arkadii {L'vovich} {Onishchik} (on his 70th birthday)},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {1245--1253},
year = {2003},
volume = {58},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2003_58_6_a22/}
}
TY - JOUR AU - D. N. Akhiezer AU - È. B. Vinberg AU - V. V. Gorbatsevich AU - V. G. Durnev AU - R. Zulanke AU - L. S. Kazarin AU - D. A. Leites AU - V. V. Serganova AU - V. M. Tikhomirov TI - Arkadii L'vovich Onishchik (on his 70th birthday) JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2003 SP - 1245 EP - 1253 VL - 58 IS - 6 UR - http://geodesic.mathdoc.fr/item/RM_2003_58_6_a22/ LA - en ID - RM_2003_58_6_a22 ER -
%0 Journal Article %A D. N. Akhiezer %A È. B. Vinberg %A V. V. Gorbatsevich %A V. G. Durnev %A R. Zulanke %A L. S. Kazarin %A D. A. Leites %A V. V. Serganova %A V. M. Tikhomirov %T Arkadii L'vovich Onishchik (on his 70th birthday) %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2003 %P 1245-1253 %V 58 %N 6 %U http://geodesic.mathdoc.fr/item/RM_2003_58_6_a22/ %G en %F RM_2003_58_6_a22
D. N. Akhiezer; È. B. Vinberg; V. V. Gorbatsevich; V. G. Durnev; R. Zulanke; L. S. Kazarin; D. A. Leites; V. V. Serganova; V. M. Tikhomirov. Arkadii L'vovich Onishchik (on his 70th birthday). Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 58 (2003) no. 6, pp. 1245-1253. http://geodesic.mathdoc.fr/item/RM_2003_58_6_a22/
[1] “Ob orientiruemosti analiticheskikh odnorodnykh mnogoobrazii”, UMN, 8 (1953), 121–130 | MR | Zbl
[2] “Kompaktnye gruppy Li v tselom”, UMN, 10 (1955), 3–74 (with E. B. Dynkinym) | MR
[3] “Algebra gomologii prostranstva putei”, Dokl. AN SSSR, 106 (1956), 967–969 (with F. I. Karpelevichem) | MR
[4] “Prostranstva putei i rassloennye prostranstva”, Dokl. AN SSSR, 110 (1956), 932–935 | MR | Zbl
[5] “O kogomologiyakh prostranstv putei”, Matem. sb., 44 (1958), 3–52 | MR
[6] “O tranzitivnykh gruppakh preobrazovanii kompaktnykh odnorodnykh prostranstv”, Dokl. AN SSSR, 124 (1959), 520–523 | MR | Zbl
[7] “O vklyucheniyakh mezhdu tranzitivnymi kompaktnymi gruppami preobrazovanii”, Dokl. AN SSSR, 129 (1959), 261–264 | MR | Zbl
[8] “Kompleksnye obolochki kompaktnykh odnorodnykh prostranstv”, Dokl. AN SSSR, 130 (1960), 726–729 | Zbl
[9] O tranzitivnykh gruppakh Li preobrazovanii, Diss. ... kand. fiz.-matem. nauk, MGU, M., 1960
[10] “O kompaktnykh gruppakh Li, tranzitivnykh na nekotorykh mnogoobraziyakh”, Dokl. AN SSSR, 135 (1960), 531–534
[11] “O kruchenii osobykh grupp Li”, Matem. sb., 51 (1960), 273–276 | MR
[12] “O klassifikatsii rassloennykh prostranstv”, Dokl. AN SSSR, 141 (1961), 803–806 | MR | Zbl
[13] “Otnosheniya vklyucheniya mezhdu tranzitivnymi kompaktnymi gruppami preobrazovanii”, Trudy MMO, 11 (1962), 199–242 | MR | Zbl
[14] “Poluprostye razlozheniya poluprostykh algebr Li”, Dokl. AN SSSR, 149 (1963), 1033–1036 | MR | Zbl
[15] “O tranzitivnykh kompaktnykh gruppakh preobrazovanii”, Matem. sb., 60 (1963), 447–485 | MR | Zbl
[16] “Svyaznosti bez krivizny i teorema de Rama”, Dokl. AN SSSR, 159 (1964), 988–991 | MR | Zbl
[17] “O deformatsiyakh rassloennykh prostranstv.”, Dokl. AN SSSR, 161 (1965), 45–47 | MR | Zbl
[18] “O deformatsiyakh golomorfnykh rassloennykh prostranstv”, Sovremennye problemy teorii analiticheskikh funktsii, Nauka, M., 1966, 236–239
[19] “O gruppakh Li, tranzitivnykh na kompaktnykh mnogoobraziyakh”, Matem. sb., 71 (1966), 483–494 | MR | Zbl
[20] “O gruppakh Li, tranzitivnykh na kompaktnykh mnogoobraziyakh. II”, Matem. sb., 74 (1967), 398–416 | MR | Zbl
[21] “Nekotorye ponyatiya i primeneniya teorii neabelevykh kogomologii”, Trudy MMO, 17 (1967), 45–88 | MR | Zbl
[22] “O gruppakh Li, tranzitivnykh na kompaktnykh mnogoobraziyakh. III”, Matem. sb., 75 (1968), 255–263 | MR | Zbl
[23] “Ob odnorodnykh vektornykh rassloeniyakh.”, UMN, 24:3 (1969), 231–232 | MR
[24] Seminar po algebraicheskim gruppam i gruppam Li, 1967/68 g., MGU, M., 1969 (with E. B. Vinbergom)
[25] “Razlozheniya reduktivnykh grupp Li”, Matem. sb., 80 (1969), 553–599 | MR | Zbl
[26] “Gruppy Li, tranzitivnye na mnogoobraziyakh Grassmana i Shtifelya”, Matem. sb., 83 (1970), 407–428 | MR | Zbl
[27] Kompaktnye odnorodnye prostranstva i razlozheniya grupp Li, Diss. ... dokt. fiz.-matem. nauk, MGU, M., 1970
[28] “O vpolne integriruemykh uravneniyakh na odnorodnykh prostranstvakh”, Matem. zametki, 9 (1971), 365–373 | MR | Zbl
[29] “Meromorfnye funktsii i rassloeniya na kompleksnye pryamye na kompaktnykh kompleksnykh mnogoobraziyakh”, Trudy VIII letnei matem. shkoly (Kiev, 1971), 78–101 | Zbl
[30] “O nekotorykh topologicheskikh invariantakh odnorodnykh prostranstv”, Matem. zametki, 12 (1972), 761–768 | MR
[31] “Prostranstva Shteina”, Itogi nauki i tekhniki. Algebra. topologiya. geometriya, 11, VINITI, M., 1974, 125–151
[32] “O polupryamykh summakh algebr Li”, Matem. zametki, 18 (1975), 31–40 (with Yu. B. Khakimdzhanovym) | MR
[33] “Ob invariantakh i pochti-invariantakh kompaktnykh grupp preobrazovanii”, Trudy MMO, 35 (1976), 235–264 | MR
[34] “O rasshireniyakh tranzitivnykh grupp preobrazovanii”, Izv. vuzov. Matem., 1977, no. 3, 53–65 ; 1981, no. 7, 88
[35] “O tranzitivnykh deistviyakh na borelevskikh mnogoobraziyakh”, Vopr. teorii grupp i gomolog. algebry, YarGU, Yaroslavl, 1977, 143–155 | Zbl
[36] Algebra und Geometrie. Eine Einführung, DVW, Berlin, 1977, 1986 (with R. Sulanke) | MR
[37] “Psevdovypuklost v teorii kompleksnykh prostranstv”, Itogi nauki i tekhniki. Algebra. topologiya. geometriya, 15, VINITI, M., 1977, 93–171
[38] Elementy lineinoi algebry i teorii grupp, YarGU, Yaroslavl, 1978
[39] Vvedenie v teoriyu grupp i algebr Li, YarGU, Yaroslavl, 1979
[40] “Zamechanie ob invariantakh grupp, porozhdennykh otrazheniyami”, Vopr. teorii grupp i gomolog. algebry, YarGU, Yaroslavl, 1979, 138–141
[41] “Klassifikatsiya kompaktnykh grupp Li”, Dobavlenie k kn.: Dzh. Adams, Lektsii po gruppam Li, Nauka, M., 1979, 132–144
[42] Lineinaya algebra dlya biologov, YarGU, Yaroslavl, 1980 (with A. N. Rudakovym)
[43] “O vpolne geodezicheskikh podmnogoobraziyakh simmetricheskikh prostranstv”, Geometricheskie metody v zadachakh algebry i analiza, YarGU, Yaroslavl, 1980, 64–85
[44] “Ob odnom klasse podgrupp prostykh algebraicheskikh grupp”, Vopr. teorii grupp i gomolog. algebry, YarGU, Yaroslavl, 1981, 93–103
[45] “Parabolic factorizations of semisimple algebraic groups”, Math. Nachr., 104 (1981), 315–329 | DOI | MR | Zbl
[46] “O vklyucheniyakh mezhdu tranzitivnymi algebraicheskimi gruppami”, Izv. vuzov. Matem., 1982, no. 2, 28–35 | MR
[47] “O tranzitivnykh poluprostykh gruppakh Li”, Vopr. teorii grupp i gomolog. algebry, YarGU, Yaroslavl, 1983, 128–129
[48] “O topologii nekotorykh kompleksnykh odnorodnykh prostranstv”, Mnogomernyi kompleksnyi analiz, SO AN SSSR, Krasnoyarsk, 1985, 109–121
[49] “Metody teorii puchkov i prostranstva Shteina”, Itogi nauki i tekhniki. Sovrem. probl. matem. Fundam. napravleniya, 10, VINITI, M., 1986, 5–73
[50] Tranzitivnye neprivodimye superalgebry Li vektornykh polei, Dep. v VINITI 12.06.86, No 4329-V, YarGU, Yaroslavl, 1986
[51] “Privodimye maksimalnye podalgebry nekotorykh klassicheskikh superalgebr Li”, Voprosy teorii grupp i gomolog. algebry, YarGU, Yaroslavl, 1987, 161–163 (with O. A. Zharovym, V. A. Zolotarevym)
[52] Algebra und Geometrie 2. Moduln und Algebren, DVW, Berlin, 1988 (with R. Sulanke) | MR
[53] Seminar po gruppam Li i algebraicheskim gruppam, Nauka, M., 1988 (with E. B. Vinbergom) | MR
[54] “Osnovy teorii grupp Li. Gruppy Li preobrazovanii”, Gruppy Li i algebry Li – 1, Itogi nauki i tekhniki. Sovrem. probl. matem. Fundam. napravleniya, 20, VINITI, M., 1988 (with E. B. Vinbergom, V. V. Gorbatsevichem)
[55] “Superalgebry Li vektornykh polei na rasschepimykh flagovykh supermnogoobraziyakh”, Dokl. AN SSSR, 300:2 (1988), 284–287 (with A. A. Serovym)
[56] “On the centre of a transitive semisimple Lie group”, Ann. Global Anal. Geom., 6:3 (1988), 265–272 | DOI | MR | Zbl
[57] “Deistviya superalgebr Li kartanovskogo tipa na nekotorykh supermnogoobraziyakh”, Voprosy teorii grupp i gomolog. algebry, YarGU, Yaroslavl, 1989, 42–49
[58] “Podalgebry Kartana v superalgebrakh Li”, Vopr. teorii grupp i gomolog. algebry, YarGU, Yaroslavl, 1989, 99–104 (with V. A. Buneginoi, T. N. Naumovoi)
[59] “Shteinovy odnorodnye prostranstva reduktivnykh grupp”, Dobavlenie k kn.: G. Grauert, R. Remmert, Teoriya prostranstv Shteina, Nauka, M., 1989, 328–331 | MR
[60] Gruppy Li i algebry Li - 3, Itogi nauki i tekhniki. Sovrem. probl. matem. Fundam. napravleniya, 41, VINITI, M., 1990 (with E. B. Vinbergom, V. V. Gorbatsevichem) | MR
[61] Lie Groups and Algebraic Groups, Springer-Verlag, Berlin, 1990 (with E. B. Vinberg) | MR | Zbl
[62] “Lie superalgebras of vector fields”, Amer. Math. Soc. Transl. Ser. 2, 148 (1991), 87–97 | MR | Zbl
[63] “Neprivodimye komponenty vneshnei algebry nad prostranstvom matrits”, Vopr. teorii grupp i gomolog. algebry, YarGU, Yaroslavl, 1992, 136–139 | Zbl
[64] “Ob odnom semeistve odnorodnykh supermnogoobrazii”, Vopr. teorii grupp i gomolog. algebry, YarGU, Yaroslavl, 1992, 153–158 (with V. A. Buneginoi)
[65] “The group of isometries of a compact Riemannian homogeneous space”, Differential Geometry and Its Applications (Eger, Hungary, 1989), Colloq. Math. Soc. János Bolyai, 56, North Holland, Amsterdam, 1992, 597–616 | MR | Zbl
[66] “Holomorphic vector fields on super-Grassmannians”, Lie Groups, Their Discrete Subgroups, and Invariant Theory, Advances in Soviet Mathematics, 8, Amer. Math. Soc., Providence, RI, 1992, 113–129 (with A. A. Serov) | MR
[67] “On the rigidity of super-Grassmannians”, Ann. Global Anal. Geom., 11 (1993), 361–372 | DOI | MR | Zbl
[68] Homogeneous supermanifolds associated with the complex projective line, Preprint No 33, Inst. Math. Univ. Oslo, Oslo, 1993 (with V. A. Bunegina)
[69] Lie Groups and Lie Algebras, I: Foundations of Lie Theory. Li Transformations Groups, Springer-Verlag, Berlin, 1993 (with V. V. Gorbatsevich, E. B. Vinberg) | MR
[70] Lie Groups and Lie Algebras, III: Structure of Lie Groups and Lie Algebras, Encyclop. Math. Sci., 41, Springer-Verlag, Berlin, 1994 (with E. B. Vinberg, V. V. Gorbatsevich) | MR | Zbl
[71] Topology of Transitive Transformation Group, J. A. Barth Verlag, Leipzig, 1994 | MR
[72] “Flag supermanifolds, their automorphisms and deformations”, The Sophus Lie Memorial Conference, Proceedings (Oslo, 1992), Scand. Univ. Press, Oslo, 1994, 289–302 | MR
[73] “Evgenii Borisovich Dynkin (k 70-letiyu so dnya rozhdeniya)”, UMN, 49 (1994), 183–188 (with N. D. Vvedenskoi, R. L. Dobrushinym, V. A. Uspenskim) | MR
[74] “Two families of flag supermanifolds”, Differential Geom. Appl., 4:4 (1994), 329–360 (with V. A. Bunegina) | DOI | MR | Zbl
[75] A spectral sequence for the tangent sheaf cohomology of a supermanifold, SFB 288, Preprint No 148, Technisce Universität, Berlin, 1994
[76] Seminar po gruppam Li i algebraicheskim gruppam, URSS, M., 1995 (with E. B. Vinbergom) | MR
[77] About derivations and vector-valued differential forms, Bericht No181, Inst. Math. Ruhr-Universität, Bohum, 1995
[78] “O kogomologiyakh kasatelnogo puchka kompleksnogo supermnogoobraziya”, Aktualnye problemy estestvennykh i gumanitarnykh nauk. Matematika, informatika, YarGU, Yaroslavl, 1995, 44–46
[79] Topologiya tranzitivnykh grupp preobrazovanii, Fizmatlit, M., 1995 | MR
[80] “On the work of E. B. Dynkin in the theory of Lie groups”, Amer. Math. Soc. Transl. Ser. 2, 169 (1995), 1–13 (with F. I. Karpelevich, E. B. Vinberg) | MR | Zbl
[81] “Vector fields and deformations of isotropic super-Grassmannians of maximal type”, Amer. Math. Soc. Transl. Ser. 2, 169 (1995), 75–90 (with A. A. Serov) | MR | Zbl
[82] “O kompleksnykh odnorodnykh supermnogoobraziyakh”, Matematika v Yaroslavskom universitete, Sb. obzornykh statei, YarGU, Yaroslavl, 1996, 133–153 | Zbl
[83] On isotropic super-Grassmannians of maximal type associated with an odd bilinear form, Preprint No 340, E. Schrödinger International Institute for Mathematical Physics, Vienna, 1996 (with A. A. Serov) | MR
[84] A construction of non-split supermanifolds, Preprint No 361, E. Schrödinger International Institute for Mathematical Physics, Vienna, 1996
[85] “Homogeneous supermanifolds associated with the complex projective line”, J. Math. Sci., 82:4 (1996), 3503–3527 (with V. A. Bunegina) | DOI | MR | Zbl
[86] Non-split supermanifolds associated with the cotangent bundle, Prépubl. Université de Poitiers, Départ. de Math., No 109. Poitiers, 1997
[87] Foundations of Lie Theory and Lie Transformation Groups. 2nd printing, Springer-Verlag, Berlin, 1997 (with V. V. Gorbatsevich, E. B. Vinberg) | MR | Zbl
[88] “About derivations and vector-valued differential forms”, J. Math. Sci. (New York), 90:4 (1998), 2274–2286 | DOI | MR | Zbl
[89] “A spectral sequence for the tangent sheaf cohomology of a supermanifold”, Lie Groups and Lie Algebras, Math. Appl., 433, Kluwer, Dordrecht, 1998, 199–215 | MR
[90] “Odnorodnye supermnogoobraziya, svyazannye s kompleksnym proektivnym prostranstvom. I”, Matem. sb., 189:2 (1998), 111–136 (with O. V. Platonovoi) | MR
[91] “Odnorodnye supermnogoobraziya, svyazannye s kompleksnym proektivnym prostranstvom. II”, Matem. sb., 189:3 (1998), 103–124 (with O. V. Platonovoi) | MR
[92] “A moduli problem related to complex supermanifolds”, Algebra and Operator Theory, Proc. colloquium (Tashkent, 1997), Kluwer, Dordrecht, 1998, 13–24 | MR | Zbl
[93] “A construction of non-split supermanifolds”, Ann. Global Anal. Geom., 16:4 (1998), 309–333 | DOI | MR | Zbl
[94] “On non-abelian cochain complexes”, Voprosy teorii grupp i gomolog. algebry, Yaroslavl, 1998, 171–197 | MR
[95] Non-abelian cohomology and supermanifolds, SFB 288, Preprint 360, Technische Universität, Berlin, 1998
[96] “On the classification of complex analytic supermanifolds”, Lobachevskii J. Math., 4 (1999), 47–70 | MR | Zbl
[97] “On supermanifolds associated with the cotangent bundle”, Lie Groups, Geometric Structures and Differential Equations – One Hundred Years after Sophus Lie (Kyoto, 1999), Søurikaisekikenkyøusho Køokyøuroku, 1150, RIMS, Kyoto, 2000, 45–53 | MR | Zbl
[98] Lifting of holomorphic actions on complex supermanifolds, Preprint 966, E. Schrödinger International Institute for Mathematical Physics, Vienna, 2000
[99] “Treugolnye kogomologii kompaktnykh kelerovykh mnogoobrazii”, Matem. sb., 192:2 (2001), 27–56 (with A. Yu. Brudnym) | MR
[100] “Problemy klassifikatsii kompleksnykh supermnogoobrazii”, Matematika v Yaroslavskom universitete, Sb. obzornykh statei. K 25-letiyu matematicheskogo fakulteta, YarGU, Yaroslavl, 2001, 7–33 | Zbl
[101] “Lifting of holomorphic actions on complex supermanifolds”, Lie Groups, Geometric Structures and Differential Equations – One Hundred Years after Sophus Lie (Kyoto, 1999), Adv. Stud. Pure Math., 37, Math. Soc. Japan, Tokyo, 2002, 317–335 | MR | Zbl