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Tangle categories and endomorphism algebras of certain infinite dimensional $U_q(\mathrm{sl}_2)$ modules

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Gustav Lehrer
University of Sydney
Fri, 23/11/2018 - 12:00 - 13:00
MPIM Lecture Hall

We demonstrate an equivalence of categories between a certain categories of infinite dimensional representations of quantum $\mathrm{sl}_2$ and two parametrised versions of the Temperley-Lieb category of type $B$. This may be used to discuss semi-simplicity. This is joint work with K. Iohara and R. Zhang.

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