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- W4301476511 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.
- W4301476511 created "2022-10-05" @default.
- W4301476511 creator A5063611456 @default.
- W4301476511 date "2014-07-25" @default.
- W4301476511 modified "2023-10-18" @default.
- W4301476511 title "Isocategorical groups and their Weil representations" @default.
- W4301476511 doi "https://doi.org/10.48550/arxiv.1407.7014" @default.
- W4301476511 hasPublicationYear "2014" @default.
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