Descent systems for Bruhat posets
Lex E. Renner
University of Western Ontario Department of Mathematics London N6A 5B7 Canada
DOI: 10.1007/s10801-008-0141-4
Abstract
Let ( W, S) be a finite Weyl group and let w\in W. It is widely appreciated that the descent set
D( w)={ s Ĩ S | l( ws) < l( w)} D(w)=\{s\in S\mid l(ws)
Pages: 413–435 Keywords: keywords Weyl group; Bruhat poset; descent system; augmented poset; $J$-irreducible monoid; rationally smooth Full Text: PDF References1. Bialynicki-Birula, A.: Some theorems on the actions of algebraic groups. Annals of Math. 98, 480- 497 (1973)
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