# Seminar za teoriju reprezentacija ZCI QuantiXLie

lokacija:
PMF Matematički odsjek
vrijeme:
10.04.2018 - 17:45 - 19:00
Representation theory seminar and Center of Excellence QuantiXLie

Tuesday, April 10 at 17:45, room 002

Vít Tuček: Unitarizable highest weight modules II

Unitarizable highest weight modules for a real Lie group G were classified in
the eighties independently by several authors. They exists only when the pair
(G, K), where K is maximal compact in G, is the so called Hermitian symmetric
pair. They precisely correspond to parabolic subgroups of the complexification
of G with Abelian nilradical. I will present the classification from two
viewpoints and the Enright formula for nilpotent cohomology of these modules
which generalizes the Kostant formula for G-dominant integral weights.

Everybody is invited.

Karmen Grizelj