Principal Series Representations Induced from Heisenberg Parabolic Subgroups
Time: 2024-04-16
Published By: He Liu
Speaker(s): Genkai Zhang(Chalmers University of Technology and University of Gothenburg)
Time: 15:00-16:00 April 23, 2024
Venue: Room 29, Quan Zhai, BICMR
We study induced representations of real simple Lie groups induced from Heisenberg parabolic subgroups. We find complementary series and some composition series related to minimal representations. For complex Lie groups (as real Lie groups) we find the K-types of the principal series as a generalization of the Cartan-Helgason theorem. This is based on joint work with Jan Frahm, Clemens Weiske and Jun Yu.
