29.06.2021 | Genkai Zhang (Chalmers University of Technology) |
Titel: | Branching of metaplectic representation of Sp(n, R) under its principal SL(2, R) subgroup |
| Abstract: | Any simple split Lie group $G$ has a unique principal S=SL(2, R) subgroup, by the work of Kostant. We study the branching problem for holomorphic representations of G=Sp(n, R) under S. A complete decomposition is found for the metaplectic representation of G=Sp(2, R). We use both some classical method of orthogonal polynomials and the geometric tool of Chern connection. |
Termin
Dienstag, 29.06.2021
| 14.00 bis 15.15 Uhr