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

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Speaker: 
Gustav Lehrer
Affiliation: 
University of Sydney
Date: 
Fri, 23/11/2018 - 12:00 - 13:00
Location: 
MPIM Lecture Hall
Parent event: 
Conference on: Algebraic Groups, Lie Algebras and their Representations on the occasion of Jens Carsten Jantzen's 70th birthday, November 22 - 24, 2018

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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