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Higher Bruhat orders, related to the symmetric group

✍ Scribed by Yu. I. Manin; V. V. Shekhtman

Publisher: Springer US
Year: 1986
Tongue: English
Weight: 276 KB
Volume: 20
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01077278

No coin nor oath required. For personal study only.

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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

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