Thursday 12 June 2025, 11:00 - 12:00 in HG00.062
Stefan Kolb (Newcastle)
Quasi K-matrix via Letzter map
A crucial ingredient in the theory of quantum symmetric spaces is the quasi K-matrix which is an analogue of the quasi R-matrix in the theory of quantum groups. The quasi K-matrix plays an important role in the construction of canonical bases, universal K-matrices and braid group actions for quantum symmetric pairs. The quasi K-matrix is constructed by an intricate induction argument. In this talk, I will explain how the quasi K-matrix can be directly obtained from the quasi R-matrix via a projection map first considered by G. Letzter. This was first observed in the quasi-split case in joint work with M. Yakimov, but turns out to hold in full generality.