Title	Casselman's basis, Yang-Baxter basis, and Kostant-Kumar's twisted group algebra
Creator	Nakasuji, Maki
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-07-28T14:22
Description	Casselman's basis is the basis of Iwahori fixed vectors of a spherical representation of a connected reductive $p$-adic group over a non-archimedean local field, which is dual to the intertwining operators at the identity indexed by elements of the Weyl group. The problem of Casselman is to express Casselman's basis in terms of another natural basis, and vice versa. In this talk, using Yang-Baxter basis of Hecke algebra and Kostant-Kumar's twisted group algebra, we will show one solution to Casselman's problem. This is joint work with H. Naruse.
Extent	24 minutes
Subject	Mathematics; Number theory; Quantum theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Sophia
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340926
URI	http://hdl.handle.net/2429/60434
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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