Standard Monomial Theory for Bott-Samelson Varieties of GL(n)
arXiv:alg-geom/9703020 · doi:10.1016/S0764-4442(99)80401-7
Abstract
We construct an explicit basis for the coordinate ring of the Bott-Samelson variety Z_i associated to G = GL(n) and an arbitrary sequence of simple reflections i. Our basis is parametrized by certain standard tableaux and generalizes the Standard Monomial basis for Schubert varieties. Our standard tableaux have a natural crystal graph structure.
Northeastern University, [email protected] AMSTeX amsppt
References in corpus (2)
Cited by in corpus (10)
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