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On positivity in Hecke algebras

✍ Scribed by M. J. Dyer; G. L. Lehrer

Publisher: Springer
Year: 1990
Tongue: English
Weight: 425 KB
Volume: 35
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00147342

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✦ Synopsis

Let W be the Hecke algebra associated with a Coxeter system (W, R). The structure constants of Jf 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 W and the geometry of Schubert varieties.

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