Ernest Vinberg Explained

Ernest Vinberg
Birth Name:	Ernest Borisovich Vinberg
Birth Date:	26 July 1937
Birth Place:	Moscow, Russian RSFSR, Soviet Union
Death Place:	Moscow, Russia
Alma Mater:	Moscow State University
Known For:	Vinberg's algorithm Koecher–Vinberg theorem
Awards:	Moscow Mathematical Society Prize Humboldt Prize Life Dedicated to Mathematics ^[1]
Fields:	Mathematics
Workplaces:	Moscow State University
Doctoral Advisor:	Eugene Dynkin Ilya Piatetski-Shapiro
Doctoral Students:	Victor Kac Ivan Losev Boris Weisfeiler

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

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]

Ernest Vinberg died from pneumonia caused by COVID-19 on 12 May 2020.^{[4] [5]}

Selected publications

• Book: Linear Representations of Groups . Basler Lehrbücher. 2 . A. Iacob. Birkhäuser . 1989. 3-7643-2288-8. ^[6]
• Book: A Course in Algebra. Graduate Studies in Mathematics. 56. Alexander Retakh. American Mathematical Society. 2003. 0-8218-3413-4.
• editor and co-author: Book: Lie Groups and Invariant Theory. Advances in the Mathematical Sciences. 56. American Mathematical Society. 2005. 0-8218-3733-8. (contains Construction of the exceptional simple Lie algebras)
• with A. L. Onishchik: Book: Lie Groups and Algebraic Groups . Springer Series in Soviet Mathematics. Springer-Verlag. 1990. 978-0-387-50614-2. 2012 pbk edition
• with V. V. Gorbatsevich, A. L. Onishchik: Book: Foundations of Lie Theory and Lie Transformation Groups. A. Kozlowski. Springer . 1997. 978-3-642-57999-8.
• Hyperbolic reflection groups. Russian Mathematical Surveys. 40. 1. 28 February 1985. 31–75. 10.1070/RM1985v040n01ABEH003527. Vinberg. E. B.. 1985RuMaS..40...31V. 250912767 .
• (ed.) Book: Geometry II: Spaces of Constant Curvature . Encyclopedia of Mathematical Sciences. 29 . Springer . 1993. 10.1007/978-3-662-02901-5. 978-3-642-08086-9 . (contains: Vinberg et alia: Geometry of spaces of constant curvature, Discrete groups of motions of spaces of constant curvature)

External links

• • Humboldt Research Award
• Ernest Borisovich Vinberg, Moscow Mathematical Journal

Notes and References

1. Web site: Названы лауреаты премии "Жизнь, посвященная математике". Dynasty Foundation. 30 December 2014. ru. 2015-03-12. https://web.archive.org/web/20160305014603/http://www.dynastyfdn.com/news/1237. 2016-03-05. dead.
2. Web site: Prof. Dr. Ernest Borisovich Vinberg. humboldt-foundation.de. Alexander von Humboldt Foundation. 2020-06-09.
3. Web site: Ernest Borisovich Vinberg. amacad.org. American Academy of Arts and Sciences. 2020-06-09.
4. Web site: Semyonov . Kirill. Скончался Э.Б.Винберг . math.msu.ru. MSU Faculty of Mechanics and Mathematics. 12 May 2020 . 2020-06-09. ru.
5. Web site: В калейдоскопе . N + 1 . 15 May 2020 . 4 June 2020. ru.
6. Web site: Berg. Michael. 21 February 2011. Review of Linear Representations of Groups by Ernest B. Vinberg. MAA Reviews. Mathematical Association of America. 2020-06-09.