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Bases for the Bruhat–Chevalley Order on All Finite Coxeter Groups

✍ Scribed by Meinolf Geck; Sungsoon Kim


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
403 KB
Volume
197
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


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 s t . Thus, we have BiGr W s s W t .

Ž .


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