Varieties of Characters

Sean Lawton; Adam S. Sikora

doi:10.1007/s10468-017-9679-y

Varieties of Characters

Sean Lawton
, Adam S. Sikora

Mathematics

George Mason University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	1133-1141
Number of pages	9
Journal	Algebras and Representation Theory
Volume	20
Issue number	5
DOIs	https://doi.org/10.1007/s10468-017-9679-y
State	Published - Oct 1 2017

Keywords

Character variety
Trace variety
Variety of characters

Access to Document

10.1007/s10468-017-9679-y

Cite this

@article{0e1c355b31d443ac9f48ceeeb84e89b8,

title = "Varieties of Characters",

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.",

keywords = "Character variety, Trace variety, Variety of characters",

author = "Sean Lawton and Sikora, \{Adam S.\}",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media Dordrecht.",

year = "2017",

month = oct,

day = "1",

doi = "10.1007/s10468-017-9679-y",

language = "English",

volume = "20",

pages = "1133--1141",

journal = "Algebras and Representation Theory",

issn = "1386-923X",

publisher = "Springer Netherlands",

number = "5",

}

TY - JOUR

T1 - Varieties of Characters

AU - Lawton, Sean

AU - Sikora, Adam S.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - 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.

AB - 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.

KW - Character variety

KW - Trace variety

KW - Variety of characters

UR - https://www.scopus.com/pages/publications/85015688209

U2 - 10.1007/s10468-017-9679-y

DO - 10.1007/s10468-017-9679-y

M3 - Article

AN - SCOPUS:85015688209

SN - 1386-923X

VL - 20

SP - 1133

EP - 1141

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 5

ER -

Varieties of Characters

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this