Results 1 to 10 of about 103 (93)
Upper bounds of Schubert polynomials [PDF]
Science China Mathematics, 2021 14 pages, 4 ...
Fan, Neil Jiuyu, Guo, Peter Long
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The Prism tableau model for Schubert polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The Schubert polynomials lift the Schur basis of symmetric polynomials into a basis for Z[x1; x2; : : :]. We suggest the prism tableau model for these polynomials.
Anna Weigandt, Alexander Yong
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RC-Graphs and Schubert Polynomials [PDF]
Experimental Mathematics, 1993 Using a formula of Billey, Jockusch and Stanley, Fomin and Kirillov have introduced a new set of diagrams that encode the Schubert polynomials. We call these objects rc-graphs. We define and prove two variants of an algorithm for constructing the set of all rc-graphs for a given permutation.
Nantel Bergeron, Sara Billey
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Sparse multivariate polynomial interpolation on the basis of Schubert polynomials [PDF]
Computational Complexity, 2016 Schubert polynomials were discovered by A. Lascoux and M. Schützenberger in the study of cohomology rings of flag manifolds in 1980's. These polynomials generalize Schur polynomials, and form a linear basis of multivariate polynomials. In 2003, Lenart and Sottile introduced skew Schubert polynomials, which generalize skew Schur polynomials, and expand ...
Priyanka Mukhopadhyay +2 more
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Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa–Intriligator formula
Discrete Mathematics, 2000 52 pages, LaTeX, revised version includes new title, new arrangement of material, some new remarks and formulas, additional references, in particular, on the preprint "Quantum Schubert polynomials" by S.Fomin, G.Gelfand and A ...
Toshiaki Maeno
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Tower tableaux and Schubert polynomials
Journal of Combinatorial Theory - Series A, 2013 We prove that the well-known condition of being a balanced labeling can be characterized in terms of the sliding algorithm on tower diagrams. The characterization involves a generalization of authors' Rothification algorithm. Using the characterization, we obtain descriptions of Schubert polynomials and Stanley symmetric functions.
Olcay Coşkun
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The 6 Vertex Model and Schubert Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We enumerate staircases with fixed left and right columns. These objects correspond to ice-configurations, or alternating sign matrices, with fixed top and bottom parts.
Alain Lascoux
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Schubert Polynomials and the Nilcoxeter Algebra
Advances in Mathematics, 1994 Schubert polynomials \({\mathfrak S}_ \sigma(x_ 1,x_ 2,\dots)\) indexed by permutations have been introduced and investigated by \textit{I. N. Bernstein}, \textit{I. M. Gel'fand} and \textit{S. I. Gel'fand} [Russ. Math. Surveys 28, No. 3, 1-26 (1973; Zbl 0286.57025)], \textit{M. Demazure} [Ann. Sci. École Norm. Sup., IV. Sér.
Sergey Fomin
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Cauchy Identities for Universal Schubert Polynomials
Journal of Mathematical Sciences, 2004 PlainTeX, 16 ...
Kirillov A N
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Schur and Schubert polynomials as Thom polynomials—cohomology of moduli spaces
Central European Journal of Mathematics, 2003 Richard Rimányi +2 more
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