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Varieties of Characters

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Abstract

Let G be a connected reductive affine algebraic group. In this short note we define the variety of G-characters of a finitely generated group Γ and show that the quotient of the G-character variety of Γ by the action of the trace preserving outer automorphisms of G normalizes the variety of G-characters when Γ is a free group, free abelian group, or a surface group.

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Authors and Affiliations

  1. Department of Mathematical Sciences, George Mason University, 4400 University Drive, Fairfax, Virginia, 22030, USA

    Sean Lawton

  2. University at Buffalo, SUNY, 244 Math Bldg, Buffalo, NY, 14260, USA

    Adam S. Sikora

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  1. Sean Lawton
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  2. Adam S. Sikora
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Correspondence to Sean Lawton.

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Presented by Michel Van den Bergh.

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Lawton, S., Sikora, A.S. Varieties of Characters. Algebr Represent Theor 20, 1133–1141 (2017). https://doi.org/10.1007/s10468-017-9679-y

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