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Automorphisms of the Bruhat order on Coxeter Groups

✍ Scribed by Waterhouse, W. C.

Book ID
120092621
Publisher
Oxford University Press
Year
1989
Tongue
English
Weight
147 KB
Volume
21
Category
Article
ISSN
0024-6093

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πŸ“œ SIMILAR VOLUMES

About the automorphisms of the bruhat-or
About the automorphisms of the bruhat-ordering in a coxeter group
✍ A van den Hombergh πŸ“‚ Article πŸ“… 1974 πŸ› Elsevier Science βš– 445 KB

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.

Bases for the Bruhat–Chevalley Order on
Bases for the Bruhat–Chevalley Order on All Finite Coxeter Groups
✍ Meinolf Geck; Sungsoon Kim πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 403 KB

Let W, S be any finite Coxeter system and F the Bruhat᎐Chevalley Ε½ . Ε½ . 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 Ε½ . Ε½ . Γ„ 4 Ε½ . Γ„ 4 BiGr W consisting of all w g W such that L L w s s and R R w