Characters of SL(2) Representations of Groups
Feng Luo
TL;DR
This paper characterizes the characters of SL(2) representations for various groups, including surface groups, providing a comprehensive understanding of their representation theory.
Contribution
It introduces a method to explicitly determine the characters of SL(2) group representations, extending previous work to a broader class of groups.
Findings
Explicit character formulas for SL(2) representations of groups
Application to surface groups and their representation theory
Enhanced understanding of SL(2) representation characters
Abstract
We determine the characters of SL(2) representations of groups and surface groups.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Algebra and Geometry · Finite Group Theory Research