Geometriae Dedicata

, Volume 35, Issue 1–3, pp 115–125 | Cite as

On positivity in Hecke algebras

  • M. J. Dyer
  • G. L. Lehrer
Article
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Abstract

Let ℋ be the Hecke algebra associated with a Coxeter system (W, R). The structure constants of ℋ with respect to various bases are Laurent polynomials, whose coefficients enjoy remarkable positivity properties. We survey these and prove some new ones using the relationship between ℋ and the geometry of Schubert varieties.

Keywords

Structure Constant Positivity Property Schubert Variety Laurent Polynomial Coxeter System 
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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • M. J. Dyer
    • 1
  • G. L. Lehrer
    • 2
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Department of Pure MathematicsUniversity of SydneyAustralia

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