Seminar za teoriju reprezentacija ZCI QuantiXLie
On tuesday, 3. 4., on seminar for representation theory, including ZCI
QuantiXLie, there will be held a lecture
Vít Tuček: Unitarizable highest weight modules
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.
The beginning of the seminar will be at 17:45 in lecture room 002.
We invite participants of the seminar and eveyone interested.
Karmen Grizelj