Results 41 to 50 of about 12,508,597 (366)
Schur P-positivity and involution Stanley symmetric functions [PDF]
, 2017 The involution Stanley symmetric functions $\hat{F}_y$ are the stable limits of the analogues of Schubert polynomials for the orbits of the orthogonal group in the flag variety. These symmetric functions are also generating functions for involution words,
Zachary Hamaker +2 more
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
Symmetric Functions in Noncommuting Variables [PDF]
, 2002 Consider the algebra Q> of formal power series in countably many noncommuting variables over the rationals. The subalgebra Pi(x_1,x_2,...) of symmetric functions in noncommuting variables consists of all elements invariant under permutation of the ...
Bruce, E. Sagan, Mercedes H. Rosas
core +6 more sources
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
doaj +1 more source
BCn-symmetric abelian functions [PDF]
Duke Mathematical Journal, 2006 59 pages, LaTeX (with AMS macros).
openaire +5 more sources
Chromatic Bases for Symmetric Functions [PDF]
Electronic Journal of Combinatorics, 2015 In this note we obtain numerous new bases for the algebra of symmetric functions whose generators are chromatic symmetric functions. More precisely, if $\{ G_ k \}_{k\geq 1}$ is a set of connected graphs such that $G_k$ has $k$ vertices for each $k ...
Soojin Cho, S. Willigenburg
semanticscholar +1 more source
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
doaj +1 more source
Quasi-symmetric functions as polynomial functions on Young diagrams [PDF]
, 2014 We determine the most general form of a smooth function on Young diagrams, that is, a polynomial in the interlacing or multirectangular coordinates whose value depends only on the shape of the diagram.
Aval, Jean-Christophe +3 more
core +4 more sources
Fission half-lives of super-heavy nuclei in a microscopic approach [PDF]
, 2012 A systematic study of 160 heavy and super-heavy nuclei is performed in the Hartree-Fock-Bogoliubov approach with the finite range and density dependent Gogny force with the D1S parameter set.
Ch. Theisen +11 more
core +2 more sources