An involution based left ideal in the Hecke algebra
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- by G. Lusztig
- Represent. Theory 20 (2016), 172-186
- DOI: https://doi.org/10.1090/ert/483
- Published electronically: June 10, 2016
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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.References
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Bibliographic Information
- G. Lusztig
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 117100
- Email: gyuri@math.mit.edu
- Received by editor(s): February 8, 2016
- Published electronically: June 10, 2016
- Additional Notes: The author was supported in part by National Science Foundation grant 1303060
- © Copyright 2016 American Mathematical Society
- Journal: Represent. Theory 20 (2016), 172-186
- MSC (2010): Primary 20G99
- DOI: https://doi.org/10.1090/ert/483
- MathSciNet review: 3510317