Module categories over representations of $SL_q(2)$ in the non-semisimple case

Victor Ostrik

Module categories over representations of $SL_q(2)$ in the non-semisimple case

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arxiv math/0509530 v2 pith:B6QQZHFK submitted 2005-09-22 math.QA math.CT

Victor Ostrik This is my paper · ORCID

classification math.QAmath.CT

keywords categoriesmodulerepresentationscasecasescategorycharacteristicclassify

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We classify semisimple module categories over the tensor category of representations of quantum SL(2) extending previous results to the roots of unity and positive characteristic cases.

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Clifford and Weyl algebras in symmetric tensor categories
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For a symplectic object V in a Frobenius exact symmetric tensor category with finite symmetric algebra, the Weyl algebra A(V) is Azumaya, and the resulting symplectic Witt group is described by Stiefel-Whitney classes...

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