论文标题

$ c_2 $ raded群体的真实表示:线性和遗产理论

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

论文作者

Rumynin, Dmitriy, Taylor, James

论文摘要

我们研究有限的$ C_2 $分组的线性和遗传学表示。我们证明,线性表示的类别等效于$ \ infty $ - 类别。我们还证明,作为$ \ infty $ - 类别类别的遗传学表示等同于通常表示的类别。

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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