An involution based left ideal in the Hecke algebra

Author(s)
Lusztig, George
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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.
Date issued
2016-06
URI
http://hdl.handle.net/1721.1/116018
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
1088-4165
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