Module categories over representations of $SL_q(2)$ and graphs

Pavel Etingof; Viktor Ostrik

Module categories over representations of $SL_q(2)$ and graphs

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arxiv math/0302130 v1 pith:GUVQHGRI submitted 2003-02-11 math.QA

Pavel Etingof , Viktor Ostrik This is my paper · ORCID

classification math.QA

keywords categoriesmodulecasecategoryclassifyrepresentationsrootunity

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abstract

We classify module categories over the category of representations of quantum $SL(2)$ in a case when $q$ is not a root of unity. In a case when $q$ is a root of unity we classify module categories over the semisimple subquotient of the same category.

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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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