Results 1 to 10 of about 1,035 (97)
Number of standard strong marked tableaux [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Many results involving Schur functions have analogues involving $k-$Schur functions. Standard strong marked tableaux play a role for $k-$Schur functions similar to the role standard Young tableaux play for Schur functions.
Susanna Fishel, Matjaž Konvalinka
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A dual approach to structure constants for K-theory of Grassmannians [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The problem of computing products of Schubert classes in the cohomology ring can be formulated as theproblem of expanding skew Schur polynomial into the basis of ordinary Schur polynomials. We reformulate theproblem of computing the structure constants
Huilan Li, Jennifer Morse, Pat Shields
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The Murnaghan―Nakayama rule for k-Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We prove a Murnaghan–Nakayama rule for k-Schur functions of Lapointe and Morse. That is, we give an explicit formula for the expansion of the product of a power sum symmetric function and a k-Schur function in terms of k-Schur functions.
Jason Bandlow +2 more
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Schubert polynomials and $k$-Schur functions (Extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 The main purpose of this paper is to show that the multiplication of a Schubert polynomial of finite type $A$ by a Schur function can be understood from the multiplication in the space of dual $k$-Schur functions. Using earlier work by the second author,
Carolina Benedetti, Nantel Bergeron
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Bilinear character correlators in superintegrable theory
European Physical Journal C: Particles and Fields, 2023 We continue investigating the superintegrability property of matrix models, i.e. factorization of the matrix model averages of characters. This paper focuses on the Gaussian Hermitian example, where the role of characters is played by the Schur functions.
A. Mironov, A. Morozov
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A generalization of $(q,t)$-Catalan and nabla operators [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We introduce non-commutative analogs of $k$-Schur functions and prove that their images by the non-commutative nabla operator $\blacktriangledown$ is ribbon Schur positive, up to a global sign.
N. Bergeron, F. Descouens, M. Zabrocki
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Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The dual stable Grothendieck polynomials are a deformation of the Schur functions, originating in the study of the K-theory of the Grassmannian. We generalize these polynomials by introducing a countable family of additional parameters such that the ...
Pavel Galashin, Darij Grinberg, Gaku Liu
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Quasisymmetric (k,l)-hook Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a quasisymmetric generalization of Berele and Regev's hook Schur functions and prove that these new quasisymmetric hook Schur functions decompose the hook Schur functions in a natural way.
Sarah Mason, Elizabeth Niese
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The ABC's of affine Grassmannians and Hall-Littlewood polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We give a new description of the Pieri rule for $k$-Schur functions using the Bruhat order on the affine type-$A$ Weyl group. In doing so, we prove a new combinatorial formula for representatives of the Schubert classes for the cohomology of affine ...
Avinash J. Dalal, Jennifer Morse
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The down operator and expansions of near rectangular k-Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We prove that the Lam-Shimozono ``down operator'' on the affine Weyl group induces a derivation of the affine Fomin-Stanley subalgebra of the affine nilCoxeter algebra. We use this to verify a conjecture of Berg, Bergeron, Pon and Zabrocki describing the
Chris Berg, Franco Saliola, Luis Serrano
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