Hecke modules based on involutions in extended Weyl groups
Name
S1088-4165-2018-00520-1.pdf
Description
Published version
Size
397.93 KB
Format
Adobe PDF
Checksum (MD5)
12a6c8120016f6dca246f4ee2e962ef3
Author(s)
Lusztig, George
Date Issued
December 2018
Journal
Representation Theory
Publisher
American Mathematical Society (AMS)
Citation
Lusztig, G. "Hecke modules based on involutions in extended Weyl groups." Representation Theory 22 (December 2018): 246-277 © 2018 American Mathematical Society
Version
Final published version
Abstract
Let X be the group of weights of a maximal torus of a simply connected semisimple group over C and let W be the Weyl group. The semidirect product W((Q ⊗ X)/X) is called an extended Weyl group. There is a natural C(v)-algebra H called the extended Hecke algebra with basis indexed by the extended Weyl group which contains the usual Hecke algebra as a subalgebra. We construct an H-module with basis indexed by the involutions in the extended Weyl group. This generalizes a construction of the author and Vogan.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1090/ert/520
