Seminar za teoriju reprezentacija ZCI QuantiXLie

PMF Matematički odsjek
03.04.2018 - 17:45 - 19:00

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

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