Results 161 to 170 of about 197,691 (182)
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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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 ...
A N Kirillov
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Some Combinatorial Properties of Schubert Polynomials [PDF]
Journal of Algebraic Combinatorics, 1993 The main result of the Section 1 of the reviewed paper is to give an explicit combinatorial interpretation of the Schubert polynomial \({\mathfrak S}_ w\) in terms of the reduced decompositions of the permutation \(w\). This interpretation is completely different from an earlier conjecture of A. Kohnert and a theorem of N. Bergeron (see \textit{I.
Richard P Stanley
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Schubert polynomials of types A--D
manuscripta mathematica, 1999Schubert polynomials are explicit representatives for Schubert classes in the cohomology ring of a flag variety. Those of type \(A_n\) were introduced by \textit{A. Lascoux} and \textit{M. P. Schürzenberger} [Polynomes de Schubert, C. R. Acad. Sci. Paris, Sér. I 294, 447-450 (1982; Zbl 0495.14031)]. \textit{S. Billey} and \textit{M.
openaire +2 more sources
Multiplication of a Schubert polynomial by a Schur polynomial
Annals of Combinatorics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Gröbner geometry of Schubert polynomials through ice
Advances in Mathematics, 2022Zachary Hamaker +2 more
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The Yang-Baxter equation, symmetric functions, and Schubert polynomials
Discrete Mathematics, 1996Sergey Fomin
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The Prism tableau model for Schubert polynomials
Journal of Combinatorial Theory - Series A, 2018Alexander Yong
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