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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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An involution based left ideal in the Hecke algebra
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by G. Lusztig PDF
Represent. Theory 20 (2016), 172-186 Request permission

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.
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Additional 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