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Symmetric Fundamental Expansions to Schur Positivity [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We consider families of quasisymmetric functions with the property that if a symmetric function f is a positive sum of functions in one of these families, then f is necessarily a positive sum of Schur functions.
Austin Roberts
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Schur-power convexity of integral mean for convex functions on the coordinates
Open Mathematics, 2023 In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
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Equality of Schur and Skew Schur Functions [PDF]
Annals of Combinatorics, 2005 9 pages, final ...
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Noncommutative Symmetric Hall-Littlewood Polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Noncommutative symmetric functions have many properties analogous to those of classical (commutative) symmetric functions. For instance, ribbon Schur functions (analogs of the classical Schur basis) expand positively in noncommutative monomial basis ...
Lenny Tevlin
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The symmetric KP hierarchy and affine Yangian of gl(1)
Nuclear Physics B, 2023 The symmetric functions Yλ(x) are a generalization of Schur functions Sλ(x), and Yλ(x) are symmetric about the x-axis and y-axis. As the Schur functions can be used to describe the tau functions of the KP hierarchy, in this paper, we define the symmetric
Na Wang, Ke Wu
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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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New insights into superintegrability from unitary matrix models
Physics Letters B, 2022 Some eigenvalue matrix models possess an interesting property: one can manifestly define the basis where all averages can be explicitly calculated. For example, in the Gaussian Hermitian and rectangular complex models, averages of the Schur functions are
A. Mironov, A. Morozov, Z. Zakirova
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An inequality for schur functions
Linear Algebra and its Applications, 1972 AbstractIf H is a subgroup of the symmetric group of degree n and χ is a complex character on H of degree 1, then the Schur function for H and χ is defined by dχH(Y) = ∑σϵH χ(σ) ∏i=1n yiσ(i) for any n-square matrix Y = (yij).It is shown that, if A1 is a positive definite matrix, A2 a positive semidefinite nonzero matrix, and μ1, μ2 complex numbers ...
Marcus, Marvin, Minc, Henryk
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Journal of High Energy Physics, 2019 We compute general expressions for two types of three-point functions of (semi-)short multiplets in four-dimensional N = 2 $$ \mathcal{N}=2 $$ superconformal field theories.
Kazuki Kiyoshige, Takahiro Nishinaka
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Transactions of the American Mathematical Society, 1994 A new family of symmetric functions is considered. These functions are analogous to the classical Schur functions, but depend on an integer modulus p ⩾
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