On positivity in Hecke algebras |
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| Authors: | M J Dyer G L Lehrer |
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| Institution: | (1) Department of Mathematics, Massachusetts Institute of Technology, 02139 Cambridge, MA, USA;(2) Department of Pure Mathematics, University of Sydney, 2006, N.S.W., Australia |
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| Abstract: | Let  be the Hecke algebra associated with a Coxeter system (W, R). The structure constants of 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 and the geometry of Schubert varieties.To Professor Jacques Tits on his sixtieth birthday |
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