Results 51 to 60 of about 12,508,597 (366)
Chromatic classical symmetric functions [PDF]
, 2016 In this note we classify when a skew Schur function is a positive linear combination of power sum symmetric functions. We then use this to determine precisely when any scalar multiple of a skew Schur function is the chromatic symmetric function of some ...
Soojin Cho, S. Willigenburg
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Symmetric group characters as symmetric functions [PDF]
, 2015 We introduce a basis of the symmetric functions that evaluates to the (irreducible) characters of the symmetric group, just as the Schur functions evaluate to the irreducible characters of $GL_n$ modules.
R. Orellana, M. Zabrocki
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Noncommutative symmetric functions with matrix parameters [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We define new families of noncommutative symmetric functions and quasi-symmetric functions depending on two matrices of parameters, and more generally on parameters associated with paths in a binary tree. Appropriate specializations of both matrices then
Alain Lascoux +2 more
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From Symmetric Functions to Partition Identities
Axioms, 2023 In this paper, we show that some classical results from q-analysis and partition theory are specializations of the fundamental relationships between complete and elementary symmetric functions.
Mircea Merca
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Truncated homogeneous symmetric functions [PDF]
Linear and Multilinear Algebra, 2020 Extending the elementary and complete homogeneous symmetric functions, we introduce the truncated homogeneous symmetric function $h_ ^{\dd}$ in $(\ref{THSF})$ for any integer partition $ $, and show that the transition matrix from $h_ ^{\dd}$ to the power sum symmetric functions $p_ $ is given by \[M(h^{\dd},p)=M'(p,m)z^{-1}D^{\dd},\] where $D^{\dd}
Houshan Fu, Zhousheng Mei
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Maximizing Symmetric Submodular Functions
, 2016 Symmetric submodular functions are an important family of submodular functions capturing many interesting cases including cut functions of graphs and hypergraphs.
Feldman, Moran
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Symmetric Functions, Noncommutative Symmetric Functions And Quasisymmetric Functions II
Acta Applicandae Mathematicae, 2003 This is part two of this survey; to appear in Acta. Appl. Math. The first part appeared in Acta Appl. Math 75 (2003), 55-93 and is also 'arXived'.
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Classical symmetric functions in superspace
, 2005 We present the basic elements of a generalization of symmetric function theory involving functions of commuting and anticommuting (Grassmannian) variables.
E.M. Moens +14 more
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Asymptotic Analysis of Symmetric Functions [PDF]
, 2015 In this paper we consider asymptotic expansions for a class of sequences of symmetric functions of many variables. Applications to classical and free probability theory are discussed.
Friedrich Gotze +2 more
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Rota--Baxter algebras and left weak composition quasi-symmetric functions
, 2016 Motivated by a question of Rota, this paper studies the relationship between Rota--Baxter algebras and symmetric related functions. The starting point is the fact that the space of quasi-symmetric functions is spanned by monomial quasi-symmetric ...
Guo, Li, Yu, Houyi, Zhao, Jianqiang
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