Seminar za teoriju reprezentacija ZCI QuantiXLie

PMF Matematički odsjek
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
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