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

Speaker:

Gustav Lehrer

Zugehörigkeit:

University of Sydney

Datum:

Fre, 23/11/2018 - 12:00 - 13:00

Location:

MPIM Lecture Hall [2]

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 [3]

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.

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