Module categories over affine supergroup schemes

نویسندگان

چکیده

Let k be an algebraically closed field of characteristic 0 or p>2. G affine supergroup scheme over k. We classify the indecomposable exact module categories tensor category sCohf(G) (coherent sheaves of) finite dimensional O(G)-supermodules in terms (H,Ψ)-equivariant coherent on G. deduce from it classification geometrical sRep(G). When is finite, this yields all In particular, we obtain a twists for algebra kG G, and then combine with [7, Corollary 4.1] to triangular Hopf algebras Chevalley property

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2021

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2021.106711