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A result on the Bruhat order of a Coxeter group

โœ Scribed by Shi Jianyi

Book ID
118323958
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
307 KB
Volume
128
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

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Let (W, S) be a Coxeter system, where W is a Coxeter group and S a special set of involutary generators. See [l] for a definition.

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Let W, S be any finite Coxeter system and F the BruhatแŽChevalley ลฝ . ลฝ . 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 ลฝ . ลฝ . ร„ 4 ลฝ . ร„ 4 BiGr W consisting of all w g W such that L L w s s and R R w