Deformation cohomology of Schur-Weyl categories. Free symmetric categories
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Publication:6324139
DOI10.1007/S00029-022-00806-XarXiv1908.09192MaRDI QIDQ6324139
Author name not available (Why is that?), A. A. Davydov
Publication date: 24 August 2019
Abstract: The deformation cohomology of a tensor category controls deformations of its monoidal structure. Here we describe the deformation cohomology of tensor categories generated by one object (the so-called Schur-Weyl categories). Using this description we compute the deformation cohomology of free symmetric tensor categories generated by one object with an algebra of endomorphism free of zero-divisors. We compare the answers with the exterior invariants of the general linear Lie algebra.
Monoidal categories, symmetric monoidal categories (18M05) Other (co)homology theories (category-theoretic aspects) (18G90)
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