Arkady Onishchik | |
---|---|
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Born | Arkady L'vovich Onishchik 14 November 1933 Moscow,
Russian Federation,
Soviet Union |
Died | 12 February 2019 Moscow, Russia | (aged 85)
Alma mater | Moscow State University |
Known for | Matsushima–Onishchik Theorem |
Awards | Moscow Mathematical Society Prize (1962) |
Scientific career | |
Fields | Mathematics |
Institutions |
Moscow State University Yaroslavl State University |
Doctoral advisor | Eugene Dynkin |
Doctoral students |
Mikhail Borovoi Vera Serganova |
Arkady L'vovich Onishchik (Russian: Арка́дий Льво́вич Они́щик, born 14 November 1933 [1] in Moscow; died 12 February 2019 [2]) was a prominent Soviet and Russian mathematician, who worked on Lie groups and their geometrical applications. Onishchik was a student of Eugene Dynkin, [3] under whose guidance he got his PhD at Moscow State University in 1960. [1] In 1962 Onishchik received the Prize of the Moscow Mathematical Society for young mathematicians. [4] In 1970 he got Habilitation ( Russian title of Doctor of Sciences). [1] Since 1975 Onishchik was a professor of Yaroslavl State University. [2]
Onishchik introduced new homotopy invariants of homogeneous spaces and classified factorizations of connected simple compact Lie groups into the product of two connected Lie subgroups. [1] In complex analysis, the Matsushima–Onishchik theorem describes homogeneous spaces of complex reductive groups that are Stein manifolds. [1] In addition to Lie groups and algebras, Onishchik also worked on nonabelian cohomology and on supermanifolds. [2]
1. D. N. Akhiezer, È. B. Vinberg, V. V. Gorbatsevich, V. G. Durnev, R. Sulanke, L, S. Kazarin, D. A. Leites, V. V. Serganova, V. M. Tikhomirov. Arkadiĭ Lʹvovich Onishchik (on the occasion of his seventieth birthday). (Russian) Uspekhi Mat. Nauk 58 (2003), no. 6(354), 193–200 (DOI: https://doi.org/10.4213/rm695). English translation in Russian Math. Surveys 58 (2003), no. 6, 1245–1253 (DOI: http://dx.doi.org/10.1070/RM2003v058n06ABEH000695).
2. D. N. Akhiezer, È. B. Vinberg, V. V. Gorbatsevich, L. S. Kazarin, D. A. Leites, A. M. Lukatskii, A. N. Shchetinin. Arkady L'vovich Onishchik (obituary). (Russian) Uspekhi Mat. Nauk 75 (2020), no. 4(454), 195–206 (DOI: https://doi.org/10.4213/rm9941). English translation in Russian Math. Surveys 75 (2020), no. 4, 765–777 (DOI: http://dx.doi.org/10.1070/RM9941).
Arkady Onishchik | |
---|---|
![]() | |
Born | Arkady L'vovich Onishchik 14 November 1933 Moscow,
Russian Federation,
Soviet Union |
Died | 12 February 2019 Moscow, Russia | (aged 85)
Alma mater | Moscow State University |
Known for | Matsushima–Onishchik Theorem |
Awards | Moscow Mathematical Society Prize (1962) |
Scientific career | |
Fields | Mathematics |
Institutions |
Moscow State University Yaroslavl State University |
Doctoral advisor | Eugene Dynkin |
Doctoral students |
Mikhail Borovoi Vera Serganova |
Arkady L'vovich Onishchik (Russian: Арка́дий Льво́вич Они́щик, born 14 November 1933 [1] in Moscow; died 12 February 2019 [2]) was a prominent Soviet and Russian mathematician, who worked on Lie groups and their geometrical applications. Onishchik was a student of Eugene Dynkin, [3] under whose guidance he got his PhD at Moscow State University in 1960. [1] In 1962 Onishchik received the Prize of the Moscow Mathematical Society for young mathematicians. [4] In 1970 he got Habilitation ( Russian title of Doctor of Sciences). [1] Since 1975 Onishchik was a professor of Yaroslavl State University. [2]
Onishchik introduced new homotopy invariants of homogeneous spaces and classified factorizations of connected simple compact Lie groups into the product of two connected Lie subgroups. [1] In complex analysis, the Matsushima–Onishchik theorem describes homogeneous spaces of complex reductive groups that are Stein manifolds. [1] In addition to Lie groups and algebras, Onishchik also worked on nonabelian cohomology and on supermanifolds. [2]
1. D. N. Akhiezer, È. B. Vinberg, V. V. Gorbatsevich, V. G. Durnev, R. Sulanke, L, S. Kazarin, D. A. Leites, V. V. Serganova, V. M. Tikhomirov. Arkadiĭ Lʹvovich Onishchik (on the occasion of his seventieth birthday). (Russian) Uspekhi Mat. Nauk 58 (2003), no. 6(354), 193–200 (DOI: https://doi.org/10.4213/rm695). English translation in Russian Math. Surveys 58 (2003), no. 6, 1245–1253 (DOI: http://dx.doi.org/10.1070/RM2003v058n06ABEH000695).
2. D. N. Akhiezer, È. B. Vinberg, V. V. Gorbatsevich, L. S. Kazarin, D. A. Leites, A. M. Lukatskii, A. N. Shchetinin. Arkady L'vovich Onishchik (obituary). (Russian) Uspekhi Mat. Nauk 75 (2020), no. 4(454), 195–206 (DOI: https://doi.org/10.4213/rm9941). English translation in Russian Math. Surveys 75 (2020), no. 4, 765–777 (DOI: http://dx.doi.org/10.1070/RM9941).