Results 11 to 20 of about 197,691 (182)
The skew Schubert polynomials [PDF]
European Journal of Combinatorics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William Y. C. Chen +2 more
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Schubert polynomials and quiver formulas [PDF]
Duke Mathematical Journal, 2004 The work of Buch and Fulton established a formula for a general kind of degeneracy locus associated to an oriented quiver of type $A$. The main ingredients in this formula are Schur determinants and certain integers, the quiver coefficients, which generalize the classical Littlewood-Richardson coefficients.
Buch, Anders S. +3 more
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Combinatorics of Schubert Polynomials
, 2020 94 pages ; In this thesis, we study several aspects of the combinatorics of various important families of polynomials, particularly focusing on Schubert polynomials. Schubert polynomials arise as distinguished representatives of cohomology classes in the cohomology ring of the flag variety.
St. Dizier, Avery
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On the Multiplication of Schubert Polynomials [PDF]
Advances in Applied Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Winkel, Rudolf
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TURKISH JOURNAL OF MATHEMATICS, 2015 We define and study the rational Schubert, rational Grothendieck, rational key polynomials in an effort to understand Molev's dual Schur functions from the viewpoint of Lascoux.
Kürşat AKER, Nesrin TUTAŞ
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Infinite flags and Schubert polynomials
Forum of Mathematics, SigmaWe study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched ...
David Anderson
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Skew Divided Difference Operators and Schubert Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study an action of the skew divided difference operators on the Schubert polynomials and give an explicit formula for structural constants for the Schubert polynomials in terms of certain weighted paths in the Bruhat order on the symmetric group.
Anatol N. Kirillov
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Diagram Rules for the Generation of Schubert Polynomials [PDF]
Journal of Combinatorial Theory, Series A, 1999 The author considers the Schubert polynomials \(X_{\pi}\in {\mathbb{Z}}[x_1,x_2,\ldots]\) associated with the permutations \(\pi\) contained in the symmetric groups \(S_n\). There are many possible ways to introduce the Schubert polynomials via divided difference operators, recursive generation without divided differences based on the Monk rule and the
Rudolf Winkel, Winkel, Rudolf
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Proceedings of the American Mathematical Society, 2003 We define skew Schubert polynomials to be normal form (polynomial) representatives of certain classes in the cohomology of a flag manifold. We show that this definition extends a recent construction of Schubert polynomials due to Bergeron and Sottile in terms of certain increasing labeled chains in Bruhat order of the symmetric group.
Lenart, Cristian, Sottile, Frank
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Notes on Schubert, Grothendieck and Key Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials. Our approach is based on the study of algebraic and combinatorial properties of the reduced rectangular plactic algebra and associated Cauchy kernels.
Geometry, Integrability Symmetry
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