Varieties of Characters
Algebraic Geometry
2019-07-18 v3 Representation Theory
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 F and show that the quotient of the G-character variety of F by the action of the trace preserving outer automorphisms of G normalizes the variety of G-characters when F is a free group, free abelian group, or a surface group.
Cite
@article{arxiv.1604.02164,
title = {Varieties of Characters},
author = {Sean Lawton and Adam S. Sikora},
journal= {arXiv preprint arXiv:1604.02164},
year = {2019}
}
Comments
12 pages, this version fixes a small error in the published version