Ernest Vinberg

Ernest Borisovich Vinberg (Russian: Эрне́ст Бори́сович Ви́нберг; 26 July 1937 – 12 May 2020) was a Soviet and Russian mathematician, who worked on discrete subgroups of Lie groups and representation theory. He introduced Vinberg's algorithm and the Koecher–Vinberg theorem.

Ernest Vinberg
Born
Ernest Borisovich Vinberg

(1937-07-26)26 July 1937
Moscow, Russian RSFSR, Soviet Union
Died12 May 2020(2020-05-12) (aged 82)
Moscow, Russia
Alma materMoscow State University
Known forVinberg's algorithm
Koecher–Vinberg theorem
AwardsMoscow Mathematical Society Prize (1963)
Humboldt Prize (1997)
Life Dedicated to Mathematics (2014)[1]
Scientific career
FieldsMathematics
InstitutionsMoscow State University
Doctoral advisorEugene Dynkin
Ilya Piatetski-Shapiro
Doctoral studentsVictor Kac
Ivan Losev
Boris Weisfeiler

He was a recipient of the 1997 Humboldt Prize.[2] He was on the executive committee of the Moscow Mathematical Society. In 1983, he was an Invited Speaker with a talk on Discrete reflection groups in Lobachevsky spaces at the International Congress of Mathematicians in Warsaw. In 2010, he was elected an International Honorary Member of the American Academy of Arts and Sciences.[3]

He died of pneumonia due to COVID-19 on 12 May 2020.[4][5]

Selected publications
  • Linear Representations of Groups. Basler Lehrbücher. 2. Translated by A. Iacob. Birkhäuser. 1989. ISBN 3-7643-2288-8.[6]
  • A Course in Algebra. Graduate Studies in Mathematics. 56. Translated by Alexander Retakh. American Mathematical Society. 2003. ISBN 0-8218-3413-4.
  • editor and co-author: Lie Groups and Invariant Theory. Advances in the Mathematical Sciences. 56. American Mathematical Society. 2005. ISBN 0-8218-3733-8. (contains Construction of the exceptional simple Lie algebras)
  • with A. L. Onishchik: Lie Groups and Algebraic Groups. Springer Series in Soviet Mathematics. Springer-Verlag. 1990. ISBN 978-0-387-50614-2. 2012 pbk edition
  • with V. V. Gorbatsevich, A. L. Onishchik: Foundations of Lie Theory and Lie Transformation Groups. Translated by A. Kozlowski. Springer. 1997. ISBN 978-3-642-57999-8.
  • Vinberg, E. B. (28 February 1985). "Hyperbolic reflection groups". Russian Mathematical Surveys. 40 (1): 31–75. Bibcode:1985RuMaS..40...31V. doi:10.1070/RM1985v040n01ABEH003527.
  • (ed.) Geometry II: Spaces of Constant Curvature. Encyclopedia of Mathematical Sciences. 29. Springer. 1993. doi:10.1007/978-3-662-02901-5. ISBN 978-3-642-08086-9. (contains: Vinberg et alia: Geometry of spaces of constant curvature, Discrete groups of motions of spaces of constant curvature)

References
  1. "Названы лауреаты премии "Жизнь, посвященная математике"" (in Russian). Dynasty Foundation. 30 December 2014. Archived from the original on 2016-03-05. Retrieved 2015-03-12.
  2. "Prof. Dr. Ernest Borisovich Vinberg". humboldt-foundation.de. Alexander von Humboldt Foundation. Retrieved 2020-06-09.
  3. "Ernest Borisovich Vinberg". amacad.org. American Academy of Arts and Sciences. Retrieved 2020-06-09.
  4. Semyonov, Kirill (12 May 2020). "Скончался Э.Б.Винберг". math.msu.ru (in Russian). MSU Faculty of Mechanics and Mathematics. Retrieved 2020-06-09.
  5. "В калейдоскопе". N + 1 (in Russian). 15 May 2020. Retrieved 4 June 2020.
  6. Berg, Michael (21 February 2011). "Review of Linear Representations of Groups by Ernest B. Vinberg". MAA Reviews. Mathematical Association of America. Retrieved 2020-06-09.
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