Results 21 to 30 of about 1,099,967 (179)
Quantum Product of Symmetric Functions
International Journal of Mathematics and Mathematical Sciences, 2015 We provide an explicit description of the quantum product of multisymmetric functions using the elementary multisymmetric functions introduced by Vaccarino.
Rafael Díaz, Eddy Pariguan
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Powers of the Vandermonde determinant, Schur functions, and the dimension game [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Since every even power of the Vandermonde determinant is a symmetric polynomial, we want to understand its decomposition in terms of the basis of Schur functions.
Cristina Ballantine
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Topology and its Applications, 2003 Several classes of generalized metric spaces \((X,\tau)\) were characterized by \(g\)-functions \(g:\mathbb N \times X \rightarrow \tau\) such that \(x\in g(n,x)\) for each \(x\in X\) and each \(n\in \mathbb N\). The authors of this paper study the role of symmetric \(g\)-functions, i.e., such \(g\)-functions which satisfy \(x\in g(n,y)\) if and only ...
Good, Chris +2 more
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Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce explicit combinatorial interpretations for the coefficients in some of the transition matrices relating to skew Hall-Littlewood polynomials $P_{\lambda / \mu}(x;t)$ and Hivert's quasisymmetric Hall-Littlewood polynomials $G_{\gamma}(x;t ...
Nicolas Loehr +2 more
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Spectral Norm of Symmetric Functions [PDF]
, 2012 The spectral norm of a Boolean function $f:\{0,1\}^n \to \{-1,1\}$ is the sum of the absolute values of its Fourier coefficients. This quantity provides useful upper and lower bounds on the complexity of a function in areas such as learning theory ...
Ada, Anil, Fawzi, Omar, Hatami, Hamed
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Redfield-Pólya theorem in $\mathrm{WSym}$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We give noncommutative versions of the Redfield-Pólya theorem in $\mathrm{WSym}$, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.
Jean-Paul Bultel +3 more
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A categorification of the chromatic symmetric polynomial [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Stanley chromatic polynomial of a graph $G$ is a symmetric function generalization of the chromatic polynomial, and has interesting combinatorial properties.
Radmila Sazdanović, Martha Yip
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0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra [PDF]
, 2013 We define an action of the 0-Hecke algebra of type A on the Stanley-Reisner ring of the Boolean algebra. By studying this action we obtain a family of multivariate noncommutative symmetric functions, which specialize to the noncommutative Hall-Littlewood
Huang, Jia
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BCn-symmetric abelian functions [PDF]
Duke Mathematical Journal, 2006 59 pages, LaTeX (with AMS macros).
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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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