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**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.

Ernest Vinberg | |
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Born | Ernest Borisovich Vinberg 26 July 1937 |

Died | 12 May 2020 Moscow, Russia | (aged 82)

Alma mater | Moscow State University |

Known for | Vinberg's algorithm Koecher–Vinberg theorem |

Awards | Moscow Mathematical Society Prize (1963) Humboldt Prize (1997) Life Dedicated to Mathematics (2014) ^{[1]} |

Scientific career | |

Fields | Mathematics |

Institutions | Moscow State University |

Doctoral advisor | Eugene Dynkin Ilya Piatetski-Shapiro |

Doctoral students | Victor 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]}

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

*Linear Representations of Groups*. Basler Lehrbücher. Vol. 2. Translated by A. Iacob. Birkhäuser. 1989. ISBN 3-7643-2288-8.^{[6]}*A Course in Algebra*. Graduate Studies in Mathematics. Vol. 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. Vol. 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. S2CID 250912767. - (ed.)
*Geometry II: Spaces of Constant Curvature*. Encyclopedia of Mathematical Sciences. Vol. 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*)

**^**"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.**^**"Prof. Dr. Ernest Borisovich Vinberg".*humboldt-foundation.de*. Alexander von Humboldt Foundation. Retrieved 2020-06-09.**^**"Ernest Borisovich Vinberg".*amacad.org*. American Academy of Arts and Sciences. Retrieved 2020-06-09.**^**Semyonov, Kirill (12 May 2020). "Скончался Э.Б.Винберг".*math.msu.ru*(in Russian). MSU Faculty of Mechanics and Mathematics. Retrieved 2020-06-09.**^**"В калейдоскопе".*N + 1*(in Russian). 15 May 2020. Retrieved 4 June 2020.**^**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.

- Ernest Vinberg at the Mathematics Genealogy Project
- Humboldt Research Award
- Ernest Borisovich Vinberg,
*Moscow Mathematical Journal*