University of Sydney Algebra Seminar

Gustav Lehrer (University of Sydney)

Friday 22 March, 12-1pm, Place: Carslaw 375

The Temperley-Lieb tangle category of type B and some infinite dimensional representations of quantum ${\mathfrak{sl}}_2$

I shall present an equivalence of categories between the type B Temperley-Lieb category, realised as a subquotient of the classical category of unoriented tangles, and a category of projective infinite dimensional representations of quantum ${\mathfrak{sl}}_2$. This is joint work with Ruibin Zhang and Kenji Iohara.