Results 1 to 10 of about 3,811 (236)
Quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We introduce a new basis for the algebra of quasisymmetric functions that naturally partitions Schur functions, called quasisymmetric Schur functions.
James Haglund +3 more
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Schur-convexity for compositions of complete symmetric function dual [PDF]
Journal of Inequalities and Applications, 2020 The Schur-convexity for certain compound functions involving the dual of the complete symmetric function is studied. As an application, the Schur-convexity of some special symmetric functions is discussed and some inequalities are established.
Huan-Nan Shi, Pei Wang, Jian Zhang
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Discrete Mathematics & Theoretical Computer Science, 2009 A new class of functions is studied. We define the Brauer-Schur functions $B^{(p)}_{\lambda}$ for a prime number $p$, and investigate their properties.
Kazuya Aokage
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Equality of Schur and Skew Schur Functions [PDF]
Annals of Combinatorics, 2005 9 pages, final ...
exaly +3 more sources
Bilinear expansion of Schur functions in Schur Q-functions: A fermionic approach [PDF]
Proceedings of the American Mathematical Society, 2021 An identity is derived expressing Schur functions as sums over products of pairs of Schur Q Q -functions, generalizing ...
Harnad, J., Orlov, A. Yu.
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Refinements of the Littlewood-Richardson rule [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We refine the classical Littlewood-Richardson rule in several different settings. We begin with a combinatorial rule for the product of a Demazure atom and a Schur function.
J. Haglund +3 more
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Schur-positivity via products of grid classes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Characterizing sets of permutations whose associated quasisymmetric function is symmetric and Schur- positive is a long-standing problem in algebraic combinatorics. In this paper we present a general method to construct Schur-positive sets and multisets,
Sergi Elizalde, Yuval Roichman
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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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The Electronic Journal of Combinatorics, 2004 We give a basis for the space spanned by the sum $\hat{s}_\lambda$ of the lowest degree terms in the expansion of the Schur symmetric functions $s_\lambda$ in terms of the power sum symmetric functions $p_\mu$, where deg$(p_i)=1$. These lowest degree terms correspond to minimal border strip tableaux of $\lambda$. The dimension of the space spanned by
Peter Clifford, Richard P. Stanley
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A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We establish several properties of an algorithm defined by Mason and Remmel (2010) which inserts a positive integer into a row-strict composition tableau.
Jeffrey Ferreira
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