## Representation Theory and Mathematical Physics Seminar: Twisting functors and generalized Verma modules

Seminar | December 6 | 4-5 p.m. | 736 Evans Hall

Libor Krizka, Charles University in Prague and University of Sao Paolo

Department of Mathematics

We will discuss the Arkhipov's twisting functor associated to a positive root of a complex simple finite-dimensional Lie algebra. By applying this twisting functor for a non-simple root on generalized Verma modules we obtain the so called partial Gelfand-Tsetlin modules, which are weight modules outside the category $\mathcal O$. The talk is based on joint results with Vyacheslav Futorny and Luis Enrique Ramirez.

artamonov@berkeley.edu