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Standard Monomial Theory for Bott-Samelson Varieties of GL(n)

V. Lakshmibai·Peter Magyar
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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.

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BibTeXRIS

V. Lakshmibai, Peter Magyar. 1997-03-15. Standard Monomial Theory for Bott-Samelson Varieties of GL(n). https://doi.org/10.1016/s0764-4442(99)80401-7

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