Results 1 to 10 of about 41,853 (190)
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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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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k-Schur Functions and Affine Schubert Calculus [PDF]
, 2014 This book is an exposition of the current state of research of affine Schubert calculus and $k$-Schur functions. This text is based on a series of lectures given at a workshop titled "Affine Schubert Calculus" that took place in July 2010 at the Fields ...
Thomas Lam +5 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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Expansion of $k$-Schur functions for maximal rectangles within the affine nilCoxeter algebra [PDF]
Journal of Combinatorics, 2012 We give several explicit combinatorial formulas for the expansion of k-Schur functions indexed by maximal rectangles in terms of the standard basis of the affine nilCoxeter algebra.
Chris Berg +3 more
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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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Combinatorial expansions for families of non-commutative k-Schur functions [PDF]
SIAM Journal on Discrete Mathematics, 2012 21 pages.
Chris Berg +2 more
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Closed $k$-Schur Katalan functions as $K$-homology Schubert representatives of the affine Grassmannian [PDF]
Transactions of the American Mathematical Society, Series B, 2022 Recently, Blasiak–Morse–Seelinger introduced symmetric func- tions called Katalan functions, and proved that the K K -theoretic k k -Schur functions due to Lam–Schilling–Shimozono form a subfamily of the Katalan functions.
Takeshi Ikeda +2 more
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A recursion formula for k-Schur functions [PDF]
Journal of Combinatorial Theory, Series A, 2007 18 pages, 3 ...
Daniel Bravo, Luc Lapointe
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k-Schur expansions of Catalan functions [PDF]
Advances in Mathematics, 2020 33 ...
Jonah Blasiak +3 more
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