Real Representations of $C_2$-Graded Groups: The Linear and Hermitian Theories

Dmitriy Rumynin; James Taylor

Real Representations of $C_2$-Graded Groups: The Linear and Hermitian Theories

Representation Theory 2021-08-30 v2 Algebraic Topology Category Theory Group Theory

Authors: Dmitriy Rumynin , James Taylor

Abstract

We study linear and hermitian representations of finite $C_2$ -graded groups. We prove that the category of linear representations is equivalent to a category of antilinear representations as an $\infty$ -category. We also prove that the category hermitian representations, as an $\infty$ -category, is equivalent to a category of usual representations.

Keywords

c2-graded groups linear representations hermitian representations antilinear representations infinity-category finite groups

Cite

@article{arxiv.2008.07846,
  title  = {Real Representations of $C_2$-Graded Groups: The Linear and Hermitian Theories},
  author = {Dmitriy Rumynin and James Taylor},
  journal= {arXiv preprint arXiv:2008.07846},
  year   = {2021}
}

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Version 2: final published version, to appear in Higher Structures

Real Representations of $C_2$-Graded Groups: The Linear and Hermitian Theories

Abstract

Keywords

Cite

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