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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, Volume 11, Issue 1, Pages 48–83
DOI: https://doi.org/10.21638/spbu01.2024.103 (Mi vspua279) 		 
TO THE 300TH ANNIVERSARY OF SPSU

St Petersburg school of linear groups. II. Early works by Suslin

N. A. Vavilov

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
Full-text PDF (505 kB)
DOI: https://doi.org/10.21638/spbu01.2024.103
Abstract: The present survey describes the contribution of St Petersburg mathematicians to the theory of linear, classical and algebraic groups. The second part is devoted to the publications by Suslin of the 1970s and the early 1980s, in the areas of classical algebraic K-theory and the theories of linear and classical groups. Also, we describe the general context of these works, state some of the most important results by Suslin himself, and his students, and some of the most closely related follow-ups and subsequent results.
Keywords: linear groups, classical groups, algebraic groups, Chevalley groups, algebraic K-theory.
Funding agency Grant number
Russian Science Foundation 14-11-00335
17-11-01261
22-21-00257
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS 20-7-1-27-1
The works reflected in this and subsequent parts of the present survey were supported by a number of grants and projects. Of those, one should specially mention 1) RSF Project 14-11-00335 “Decomposition of unipotents in reductive groups”, 2) RSF Project “Split reductive groups over rings and their relatives” (both terminated) and the current ones 3) “Basis” Foundation Project 20-7-1-27-1 “Higher symbols in algebraic K-theory”, 4) RSF Project 22-21-00257 “Algebraic groups over rings and Steinberg groups”.
Received: 25.06.2023
Revised: 20.08.2023
Accepted: 31.08.2023
Document Type: Article
UDC: 512.6, 512.7, 512.8
MSC: 01, 13, 14, 15, 16, 18, 19, 20, 22
Language: Russian
Citation: N. A. Vavilov, “St Petersburg school of linear groups. II. Early works by Suslin”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:1 (2024), 48–83
Citation in format AMSBIB
\Bibitem{Vav24}
\by N.~A.~Vavilov
\paper St Petersburg school of linear groups. II. Early works by Suslin
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2024
\vol 11
\issue 1
\pages 48--83
\mathnet{http://mi.mathnet.ru/vspua279}
\crossref{https://doi.org/10.21638/spbu01.2024.103}
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