Description
It is known that the category of finite dimensional modules for quantized enveloping algebras is semisimple and that its simple objects are uniquely classified by their dominant integral weights. For quantum symmetric pairs such a classification remains open.
In this talk I will present Watanabe's category of integrable modules and explain that its Grotendieck group is isomorphic to its classical counterpart using a generalization of a branching law of Kostant. This is part of joint work with Stefan Kolb.
Author
Stein Meereboer
(Radboud)