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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On matrix coefficients of the reflection representation
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by J. Matthew Douglass and Brad Shelton PDF
Proc. Amer. Math. Soc. 105 (1989), 62-65 Request permission

Abstract:

We answer in the affirmative a question of Lusztig on the signs of certain matrix coefficients for the reflection representation of the Hecke algebra of a finite Weyl group. In the action of the Weyl group on the associated root system, the coefficients of the action of an element on a root are all of the same sign. It is shown that an appropriate generalization of this property holds for the reflection representation.
References
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 105 (1989), 62-65
  • MSC: Primary 17B35; Secondary 20C30, 20G05
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0930242-3
  • MathSciNet review: 930242