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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 292, Pages 255–263
DOI: https://doi.org/10.1134/S0371968516010155 (Mi tm3701) 		 
On representation varieties of free abelian groups

A. A. Sharomet

Belarusian State University, Minsk, Belarus
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DOI: https://doi.org/10.1134/S0371968516010155
Abstract: The reducibility of the representation variety of a free abelian group of finite rank in a semisimple non-simply connected algebraic group is proved. Irreducible components of the representation variety of a free abelian group of rank $2$ in groups of type $A_n$ are described.
Received: January 4, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 292, Pages 247–255
DOI: https://doi.org/10.1134/S0081543816010156
Bibliographic databases:
Document Type: Article
UDC: 512.743+512.547
Language: Russian
Citation: A. A. Sharomet, “On representation varieties of free abelian groups”, Algebra, geometry, and number theory, Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 292, MAIK Nauka/Interperiodica, Moscow, 2016, 255–263; Proc. Steklov Inst. Math., 292 (2016), 247–255
Citation in format AMSBIB
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\pages 255--263
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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