Schubert polynomials and Bott-Samelson varieties
نویسندگان
چکیده
منابع مشابه
Schubert Polynomials and Bott-Samelson Varieties
Schubert polynomials generalize Schur polynomials, but it is not clear how to generalize several classical formulas: the Weyl character formula, the Demazure character formula, and the generating series of semistandard tableaux. We produce these missing formulas and obtain several surprising expressions for Schubert polynomials. The above results arise naturally from a new geometric model of Sc...
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The Bott-Samelson varieties Z are a powerful tool in the representation theory and geometry of a reductive group G. We give a new construction of Z as the closure of a B-orbit in a product of flag varieties (G/B). This also gives an embedding of the projective coordinate ring of the variety into the function ring of a Borel subgroup: C[Z] ⊂ C[B]. In the case of the general linear group G = GL(n...
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متن کاملThe T–equivariant Cohomology of Bott–samelson Varieties
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 1998
ISSN: 0010-2571,1420-8946
DOI: 10.1007/s000140050071