| 释义 |
- Selected publications
- References
Ernest Borisovich Vinberg ({{lang-ru|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- [https://books.google.com/books/about/Linear_Representations_of_Groups.html?id=4Ti4f1BFsn0C Linear representations of groups]. Birkhäuser, 1989[1]
- [https://books.google.com/books/about/A_Course_in_Algebra.html?id=kd24d3mwaecC A Course in Algebra]. American Mathematical Society (AMS), 2003
- editor and co-author: [https://books.google.com/books/about/Lie_Groups_and_Invariant_Theory.html?id=4BxrvgAACAAJ 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; [https://books.google.com/books/about/Lie_Groups_and_Algebraic_Groups.html?id=TV7sCAAAQBAJ 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: [https://link.springer.com/chapter/10.1007/978-3-662-02901-5_1 Geometry of spaces of constant curvature], [https://link.springer.com/chapter/10.1007/978-3-662-02901-5_2 Discrete groups of motions of spaces of constant curvature])
References1. ^{{cite web|author=Berg, Michael|date=21 February 2011|title=Review of Linear Representations of Groups by Ernest B. Vinberg|website=MAA Reviews, Mathematical Association of America|url=https://www.maa.org/publications/maa-reviews/linear-representation-of-groups}}
- {{MathGenealogy |id=45083}}
- [https://web.archive.org/web/20080619032019/http://www.humboldt-foundation.de/EN/programme/preise/pt.htm Humboldt Research Award.]
- Ernest Borisovich Vinberg, Moscow Mathematical Journal
{{Authority control}}{{DEFAULTSORT:Vinberg, Ernest Borisovich}}{{Russia-mathematician-stub}} 6 : Russian mathematicians|Year of birth missing (living people)|Living people|Alexander von Humboldt Fellows|Soviet mathematicians|Group theorists |