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