OSU Mathematics Seminars and Colloquia
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Wed, Nov 29, 2023
Lie Groups Seminar
3:30 PM
MSCS 509
Parabolic Induction and Jacquet Modules (Part I)
Mahdi Asgari, Oklahoma State University
[Abstract] [PDF]
Abstract: Parabolic Induction is a powerful tool in representation theory of $p$-adic groups. In finite group representations, we already encounter the notion of inducing representations from subgroups and see their central role. In the representation theory of reductive $p$-adic groups, induction from certain subgroups, called parabolic subgroups, is key. I will explain the basics of these notions in a pair of talks, following Section 6 of Fiona Murnaghan’s notes.
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