Results 11 to 20 of about 44,922 (166)
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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European Physical Journal C: Particles and Fields, 2023 We wonder if there is a way to make all Schur functions in all representations equal. This is impossible for fixed value of time variables, but can be achieved for averages.
A. Morozov
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Immaculate basis of the non-commutative symmetric functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce a new basis of the non-commutative symmetric functions whose elements have Schur functions as their commutative images. Dually, we build a basis of the quasi-symmetric functions which expand positively in the fundamental quasi-symmetric ...
Chris Berg +4 more
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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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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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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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Multiparameter Schur $Q$-Functions Are Solutions of the BKP Hierarchy [PDF]
, 2019 We prove that multiparameter Schur $Q$-functions, which include as specializations factorial Schur $Q$-functions and classical Schur $Q$-functions, provide solutions of the BKP ...
Rozhkovskaya, Natasha
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Schur-convexity for compositions of complete symmetric function dual
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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