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

Dmitriy Rumynin; James Taylor

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arXiv · 2008.07846

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

Dmitriy Rumynin·James Taylor

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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.

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BibTeX RIS

Dmitriy Rumynin, James Taylor. 2020-08-18. Real Representations of $C_2$-Graded Groups: The Linear and Hermitian Theories. https://arxiv.org/abs/2008.07846

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