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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…
math.AG1999
Multiplicities of Points on Schubert Varieties in Grassmannians
J. Rosenthal, A. Zelevinsky
We obtain an explicit determinantal formula for the multiplicity of any point on a classical Schubert variety.