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- W2964114313 abstract "Two groups are called isocategorical over a field $k$ if their respective categories of $k$-linear representations are monoidally equivalent. We classify isocategorical groups over arbitrary fields, extending the earlier classification of Etingof-Gelaki and Davydov for algebraically closed fields. In order to construct concrete examples of isocategorical groups a new variant of the Weil representation associated to isocategorical groups is defined. We construct examples of non-isomorphic isocategorical groups over any field of characteristic different from two and rational Weil representations associated to symplectic spaces over finite fields of characteristic two." @default.
- W2964114313 created "2019-07-30" @default.
- W2964114313 creator A5063611456 @default.
- W2964114313 date "2017-05-01" @default.
- W2964114313 modified "2023-09-27" @default.
- W2964114313 title "Isocategorical groups and their Weil representations" @default.
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- W2964114313 doi "https://doi.org/10.1090/tran/6919" @default.
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