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- W2247665798 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.
- W2247665798 created "2016-06-24" @default.
- W2247665798 creator A5063611456 @default.
- W2247665798 date "2014-07-25" @default.
- W2247665798 modified "2023-09-27" @default.
- W2247665798 title "Isocategorical groups and their Weil representations" @default.
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