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Lie Groups and Representation Theory
Seminar information archive ～05/02｜Next seminar｜Future seminars 05/03～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2021/10/05
17:00-18:00 Room #Online (Graduate School of Math. Sci. Bldg.)
Toshiyuki KOBAYASHI (The University of Tokyo)
Bounded multiplicity in the branching problems of "small" infinite-dimensional representations (Japanese)
Toshiyuki KOBAYASHI (The University of Tokyo)
Bounded multiplicity in the branching problems of "small" infinite-dimensional representations (Japanese)
[ Abstract ]
I plan to explain a geometric criterion for the bounded multiplicity property of “small” infinite-dimensional
representations of real reductive Lie groups in branching problems.
Applying the criterion to symmetric pairs, we give a full description of the triples H ⊂ G ⊃ G' such that any irreducible admissible representations of G with H-distinguished vectors have the bounded multiplicity property when restricted to the subgroup G'.
The precise results are available in [Adv. Math. 2021, Section 7] and arXiv:2109.14424, and I plan to give some flavor.
I plan to explain a geometric criterion for the bounded multiplicity property of “small” infinite-dimensional
representations of real reductive Lie groups in branching problems.
Applying the criterion to symmetric pairs, we give a full description of the triples H ⊂ G ⊃ G' such that any irreducible admissible representations of G with H-distinguished vectors have the bounded multiplicity property when restricted to the subgroup G'.
The precise results are available in [Adv. Math. 2021, Section 7] and arXiv:2109.14424, and I plan to give some flavor.
