On representation varieties of free abelian groups


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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 An are described.

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A. A. Sharomet

Belarusian State University

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Email: sharomet@mail.ru
Belarus, Nezavisimosti Ave. 4, Minsk, 220030

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