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Keywords:
Real representation; finite group; topological category; $\infty$-category
Real representation; finite group; topological category; $\infty$-category
Summary:
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 of hermitian representations, as an $\infty$-category, is equivalent to a category of usual representations.
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