Noncommutative analogs of symmetric polynomials
Maciej Burnecki (1993)
Colloquium Mathematicae
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Displaying similar documents to “Non-symmetric Hall-Littlewood polynomials.”
Noncommutative analogs of symmetric polynomials
Symmetric and antisymmetric vector-valued Jack polynomials.
Dunkl, Charles F. (2010)
Séminaire Lotharingien de Combinatoire [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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Hall-Littlewood functions and Kostka-Foulkes polynomials in representation theory.
Désarménien, J., Leclerc, B., Thibon, J.-Y. (1994)
Séminaire Lotharingien de Combinatoire [electronic only]
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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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Schubert functions and the number of reduced words of permutations.
Winkel, Rudolf (1997)
Séminaire Lotharingien de Combinatoire [electronic only]
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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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Some classical expansions for Knop-Sahi and Macdonald polynomials.
Morse, Jennifer (1998)
Séminaire Lotharingien de Combinatoire [electronic only]
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Recursive and combinatorial properties of Schubert polynomials.
Winkel, Rudolf (1996)
Séminaire Lotharingien de Combinatoire [electronic only]
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Ruscheweyh differential operator sets of basic sets of polynomials of several complex variables in hyperelliptical regions.
Hassan, G.F. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Kostka-Foulkes polynomials for symmetrizable Kac-Moody algebras.
Viswanath, Sankaran (2007)
Séminaire Lotharingien de Combinatoire [electronic only]
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Twisted action of the symmetric group on the cohomology of a flag manifold
Alain Lascoux, Bernard Leclerc, Jean-Yves Thibon (1996)
Banach Center Publications
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Classes dual to Schubert cycles constitute a basis on the cohomology ring of the flag manifold F, self-adjoint up to indexation with respect to the intersection form. Here, we study the bilinear form (X,Y) :=〈X·Y, c(F)〉 where X,Y are cocycles, c(F) is the total Chern class of F and〈,〉 is the intersection form. This form is related to a twisted action of the symmetric group of the cohomology ring, and to the degenerate affine Hecke algebra. We give a distinguished basis for this form,...