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Factoring the Poincaré Polynomials for the Bruhat Order onSn

✍ Scribed by Vesselin Gasharov

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 235 KB
Volume: 83
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1997.2861

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Let W, S be any finite Coxeter system and F the Bruhat᎐Chevalley Ž . Ž . order on W. We denote by Base W and BiGr W the base and the set of all bi-grassmannians, respectively. For s, t g S we let s W t be the subset of Ž . Ž . Ä 4 Ž . Ä 4 BiGr W consisting of all w g W such that L L w s s and R R w