Skew divided difference operators and Schubert polynomials.
Kirillov, Anatol N. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Symmetric polynomials and divided differences in formulas of intersection theory”
Skew divided difference operators and Schubert polynomials.
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Descouens, François, Lascoux, Alain (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Hall-Littlewood functions and Kostka-Foulkes polynomials in representation theory.
Désarménien, J., Leclerc, B., Thibon, J.-Y. (1994)
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Adding to the argument of a Hall-Littlewood polynomial.
Lascoux, Alain (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Kazhdan-Lusztig polynomials: history, problems, and combinatorial invariance.
Brenti, Francesco (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
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When is the algebra of multisymmetric polynomials generated by the elementary multisymmetric polynomials?
Briand, Emmanuel (2004)
Beiträge zur Algebra und Geometrie
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Gale duality for complete intersections
Frédéric Bihan, Frank Sottile (2008)
Annales de l’institut Fourier
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We show that every complete intersection defined by Laurent polynomials in an algebraic torus is isomorphic to a complete intersection defined by master functions in the complement of a hyperplane arrangement, and vice versa. We call systems defining such isomorphic schemes Gale dual systems because the exponents of the monomials in the polynomials annihilate the weights of the master functions. We use Gale duality to give a Kouchnirenko theorem for the number of solutions to a system...
Noncommutative analogs of symmetric polynomials
Maciej Burnecki (1993)
Colloquium Mathematicae
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Some orthogonal polynomials in four variables.
Dunkl, Charles F. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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On certain formulas of Karlin and Szegö.
Leclerc, Bernard (1998)
Séminaire Lotharingien de Combinatoire [electronic only]
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On topological invariants of vector bundles
Zbigniew Szafraniec (1992)
Annales Polonici Mathematici
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Let E → W be an oriented vector bundle, and let X(E) denote the Euler number of E. The paper shows how to calculate X(E) in terms of equations which describe E and W.