Ernest Vinberg

Ernest Borisovich Vinberg (Russian: Эрнест Борисович Винберг; born 26 July 1937) is a Russian mathematician, who works on discrete subgroups of Lie groups and representation theory. He introduced Vinberg's algorithm and the Koecher–Vinberg theorem.

He is a recipient of the Humboldt Prize. He is 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 a member of the American Academy of Arts and Sciences.

His doctoral students include Victor Kac and Boris Weisfeiler.

Selected publications

Linear representations of groups. Birkhäuser, 1989^[1]
A Course in Algebra. American Mathematical Society (AMS), 2003
editor and co-author: Lie groups and invariant theory. AMS, 2005 (contains Construction of the exceptional simple Lie algebras)
with A. L. Onishchik: Lie groups and algebraic groups. Springer, 1990; 2012 pbk edition
with V.V. Gorbatsevich, A.L. Onishchik: Foundations of Lie groups and Lie transformation groups. Springer, 1997
Hyperbolic reflection groups. Russian Mathematical Surveys, no. 40, 1985, pp. 31–75
(ed.) Geometry II. Encyclopedia of Mathematical Sciences, Springer 1991, (contains : Vinberg et alia: Geometry of spaces of constant curvature, Discrete groups of motions of spaces of constant curvature)

↑ Berg, Michael (21 February 2011). "Review of Linear Representations of Groups by Ernest B. Vinberg". MAA Reviews, Mathematical Association of America.

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