Ernest Vinberg

Ernest Vinberg
Vinberg in 2001
Born	Ernest Borisovich Vinberg (1937-07-26)26 July 1937 Moscow, Russian RSFSR, Soviet Union
Died	12 May 2020(2020-05-12) (aged 82) Moscow, Russia
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)
Scientific career
Fields	Mathematics
Institutions	Moscow State University
Doctoral advisor	Eugene Dynkin Ilya Piatetski-Shapiro
Doctoral students	Victor Kac Ivan Losev Boris Weisfeiler

Ernest Borisovich Vinberg (Template:Lang-ru; 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. 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.

Ernest Vinberg died from pneumonia caused by COVID-19 on 12 May 2020.

Selected publications

• Linear Representations of Groups. Basler Lehrbücher. Vol. 2. Translated by A. Iacob. Birkhäuser. 1989. ISBN 3-7643-2288-8.
• 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)

External links

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