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math.CO1999
Stratified spaces formed by totally positive varieties
Sergey Fomin, Michael Shapiro
By a theorem of A.Björner, for every interval in the Bruhat order of a Coxeter group , there exists a stratified space whose strata are labeled by the elements of $[u,v]…
math.AG1999
Simply-laced Coxeter groups and groups generated by symplectic transvections
Boris Shapiro, Michael Shapiro, Alek Vainshtein +1
Let W be an arbitrary Coxeter group of simply-laced type (possibly infinite but of finite rank), u,v be any two elements in W, and i be a reduced word (of length m) for the pair (u…