Twisted Levi Sequences and Explicit Styles on Sp(4)
Author(s)
Kim, Ju-Lee
Yu, Jiu-Kang
Date Issued
January 2011
Journal
Proceedings of the AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups (Contemporary Mathematics)
Publisher
American Mathematical Society
Citation
Kim, Ju-Lee and Jiu-Kang Yu. "Twisted Levi Sequences and Explicit Styles on Sp(4)." in Harmonic Analysis on Reductive, p-adic Groups." Edited by Robert S. Doran, Paul J. Sally, Jr., and Loren Spice. Providence, RI: American Mathematical Society, 2011 (Contemporary Mathematics, vol. 543).
Version
Author's final manuscript
Abstract
Let G be a connected reductive group over a field F. A twisted Levi subgroup G0 of G is a reductive subgroup such that G' [circle times]F F[over-bar] is a Levi subgroup of G' [circle times]F F[over-bar]. Twisted Levi subgroups have been an important tool in studying the structure theory of representations of p-adic groups. For example, supercuspidal representations are built out of certain representations of twisted Levi subgroups ([20]), and Hecke algebra isomorphisms are established with Hecke algebras on twisted Levi subgroups, which suggests an inductive structure of representations (see [9] for example).
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
http://www.ams.org/notices/201105/rtx110500746p.pdf
