19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
Peter-Weyl theorem for current and Iwahori groups.
Presented by Dr. Yevhen MAKEDONSKYI
on
23 Jun 2023
from
16:30
to
17:00
Session:
Continuous integrable systems
Content
The famous Peter-Weyl theorem tells that the ring of functions on a simple Lie group has a direct sum decomposition with summands isomorphic to tensor products of irreducible representations. In the case of more general groups there is no direct sum decomposition. However we prove that there exists a filtration such that its subquotients are tensor products of some very natural representations for current and Iwahori groups.
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06