Separable equivalences, finitely generated cohomology and finite tensor categories
نویسندگان
چکیده
Abstract We show that finitely generated cohomology is invariant under separable equivalences for all algebras. As a result, we obtain proof of the finite generation symmetric tensor categories in characteristic zero, as conjectured by Etingof and Ostrik. Moreover, such also determine representation dimension Rouquier stable category. Finally, recover number results on stably equivalent singularly
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2023
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-023-03309-3