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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 0034-5318 1663-4926 |
DOI: | 10.2977/prims/1195144694 |