Skip to search formSkip to main contentSkip to account menu

Ring of symmetric functions

Known as: Hopf algebra of symmetric functions, Ring of symmetric polynomials 
In algebra and in particular in algebraic combinatorics, the ring of symmetric functions is a specific limit of the rings of symmetric polynomials in… 
Wikipedia (opens in a new tab)

Related topics

Related topics

5 relations
MonomialPolynomial ringQuasisymmetric functionStanley symmetric function

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Prism tableaux and alternating sign matrices
A. Lascoux and M.-P. Schützenberger introduced Schubert polynomials to study the cohomology ring of the complete flag variety F l… 
2015
2015
A family of symmetric functions associated with Stirling permutations
We present exponential generating function analogues to two classical identities involving the ordinary generating function of… 
2014
2014
Character formulae and a realization of tilting modules for $\mathfrak{sl}_2[t]$
In this paper we study the category of graded modules for the current algebra associated to $\mathfrak{sl}_2$. The category… 
Review
2013
Review
2013
Operators on Symmetric Polynomials
We provide a brief survey of a certain algebra of operators on symmetric polynomials, and collect a number of previously known… 
2013
2013
Hopf algebras, distributive (Laplace) pairings and hash products: a unified approach to tensor product decompositions of group characters
We show for bicommutative graded connected Hopf algebras that a certain distributive (Laplace) subgroup of the convolution monoid… 
2013
2013
A Basis for the Diagonally Signed-Symmetric Polynomials
Let $n\ge 1$ be an integer and let $B_{n}$ denote the hyperoctahedral group of rank $n$. The group $B_{n}$ acts on the polynomial… 
2009
2009
Preface
2009
2009
New Hopf Structures on Binary Trees (Extended Abstract)
The multiplihedra {M_n} form a family of polytopes originating in the study of higher categories and homotopy theory. While the… 
2007
2007
A Representation of Multiplicative Arithmetic Functions by Symmetric Polynomials
We give a representation of the classical theory of multiplicative arithmetic functions (MF)in the ring of symmetric polynomials… 
2005
2005
A Criterion for Bases of the Ring of Symmetric Functions
Abstract.We give a criterion for bases of the ring of symmetric functions in n indeterminates over a commutative ring R with… 
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy (opens in a new tab), Terms of Service (opens in a new tab), and Dataset License (opens in a new tab)