An involution based left ideal in the Hecke algebra
Name
S1088-4165-2016-00483-8.pdf
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229.33 KB
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Adobe PDF
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Author(s)
Lusztig, George
Date Issued
June 2016
Journal
Representation Theory of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Citation
Lusztig, G. “An Involution Based Left Ideal in the Hecke Algebra.” Representation Theory of the American Mathematical Society 20, no. 8 (June 10, 2016): 172–186.
Version
Final published version
Abstract
We show that the Hecke algebra module carried by the involutions in a Weyl group (defined by the author and Vogan) can be identified with a left ideal in the Hecke algebra. An analogous result is proved for any Coxeter group.
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/483