MIT Libraries homeMIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

UNIPOTENT ALMOST CHARACTERS OF SIMPLE p-ADIC GROUPS

Author(s)
Lusztig, George
Thumbnail
Download1212.6540.pdf (299.3Kb)
OPEN_ACCESS_POLICY

Open Access Policy

Creative Commons Attribution-Noncommercial-Share Alike

Terms of use
Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/
Metadata
Show full item record
Abstract
0.1. Let G be a simple adjoint algebraic group defined and split over the finite field F[subscript q]. Let K[subscript 0] = [bar over F][subscript q]((ǫ)), K =[bar over F][subscript q]((ǫ)). We are interested in the characters of the standard representations (in the sense of Langlands) of G(K[subscript 0]) corresponding to the (irreducible) unipotent representations ([L6]) of G(K[subscript 0]), restricted to the set G(K[subscript 0])[subscript rsc] = G(K)[subscript rsc] ∩ G(K[subscript 0]) where G(K)[subscript rsc] is the intersection of the set G(K)[subcript rs] of regular semisimple elements in G(K) with the set G(K)[subscript c] of compact elements in G(K) (that is, elements which normalize some Iwahori subgroup of G(K)); we call these restrictions the unipotent characters of G(K[subscript 0]). We hope that the unipotent characters (or some small linear combination of them) have a geometric meaning in the same way as the characters of (irreducible) unipotent representations of G(F[subscript q]) can be expressed in terms of character sheaves on G. Thus we are seeking some geometric objects on G(K)[subscript c] on which the Frobenius map acts and from which the unipotent characters can be recovered.
Date issued
2015
URI
http://hdl.handle.net/1721.1/116079
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Astérisque
Publisher
Société mathématique de France
Citation
Lusztig, Geoge. "Unipotent almost characters of simple p-adic groups." Astérisque, 370, 2015, pp. 243-267
Version: Original manuscript
ISSN
0303-1179

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries homeMIT Libraries logo

Find us on

Twitter Facebook Instagram YouTube RSS

MIT Libraries navigation

SearchHours & locationsBorrow & requestResearch supportAbout us
PrivacyPermissionsAccessibility
MIT
Massachusetts Institute of Technology
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.