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

We construct an explicit basis for the coordinate ring of the Bott-Samelson variety Zi 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.

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Veröffentlicht in:Publications of the Research Institute for Mathematical Sciences 1998, Vol.34 (3), p.229-248
Hauptverfasser: Lakshmibai, Venkatramani, Magyar, Peter
Format: Artikel
Sprache:eng
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Zusammenfassung:We construct an explicit basis for the coordinate ring of the Bott-Samelson variety Zi 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.
ISSN:0034-5318
1663-4926
DOI:10.2977/prims/1195144694