Results 41 to 50 of about 2,715,472 (212)
Characteristic Function, Schur Parameters and Pseudocontinuation of Schur functions
, 2023 In [19] there is an approach to the investigation of the pseudocontinuability of Schur functions in terms of Schur parameters. In particular, there was obtained a criterion for the pseudocontinuability of Schur functions and the Schur parameters of rational Schur functions were described.
Dubovoy, Vladimir K. +4 more
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Schur Functions and Inner Functions on the Bidisc
Computational Methods and Function Theory, 2022 We study representations of inner functions on the bidisc from a fractional linear transformation point of view, and provide sufficient conditions, in terms of colligation matrices, for the existence of two-variable inner functions. Here the sufficient conditions are not necessary in general, and we prove a weak converse for rational inner functions ...
Debnath, Ramlal, Sarkar, Jaydeb
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Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I
Journal of High Energy Physics, 2023 We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d N $$ \mathcal{N} $$ =2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a ...
Philip C. Argyres +2 more
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Journal of Combinatorial Theory, Series A, 1997 The purpose of this paper is to give a bijective proof of the following identity for Schur functions. This identity arose in the work of \textit{M. Ciucu} [Enumeration of perfect matchings in graphs with reflective symmetry, preprint, 1995] and was stated as a conjecture there.
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Noncommutative schur functions and their applications
Discrete Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergey Fomin, Curtis Greene
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Schur-Convexity of Two Types of One-Parameter Mean Values in n Variables
Journal of Inequalities and Applications, 2007 We establish Schur-convexities of two types of one-parameter mean values in n variables. As applications, Schur-convexities of some well-known functions involving the complete elementary symmetric functions are obtained.
Xiao-Ming Zhang +2 more
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The ABC's of affine Grassmannians and Hall-Littlewood polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We give a new description of the Pieri rule for $k$-Schur functions using the Bruhat order on the affine type-$A$ Weyl group. In doing so, we prove a new combinatorial formula for representatives of the Schubert classes for the cohomology of affine ...
Avinash J. Dalal, Jennifer Morse
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Quasisymmetric Schur functions and modules of the $0$-Hecke algebra [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We define a $0$-Hecke action on composition tableaux, and then use it to derive $0$-Hecke modules whose quasisymmetric characteristic is a quasisymmetric Schur function.
Vasu Tewari, Stephanie van Willigenburg
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, 1996 The classical algebra $Λ$ of symmetric functions has a remarkable deformation $Λ^*$, which we call the algebra of shifted symmetric functions. In the latter algebra, there is a distinguished basis formed by shifted Schur functions $s^*_μ$, where $μ$ ranges over the set of all partitions. The main significance of the shifted Schur functions is that they
Okun'kov, A. Yu., Ol'shanskij, G.
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Products of Factorial Schur Functions [PDF]
The Electronic Journal of Combinatorics, 2008 The product of any finite number of factorial Schur functions can be expanded as a ${\Bbb Z}[{\bf y}]$-linear combination of Schur functions. We give a rule for computing the coefficients in such an expansion. This rule generalizes the classical Littlewood-Richardson rule and several special cases of the Molev-Sagan rule.
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