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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…
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Related topics
Related topics
5 relations
Monomial
Polynomial ring
Quasisymmetric function
Stanley symmetric function
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Papers overview
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2018
2018
Prism tableaux and alternating sign matrices
Anna Weigandt
2018
Corpus ID: 125889986
A. Lascoux and M.-P. Schützenberger introduced Schubert polynomials to study the cohomology ring of the complete flag variety F l…
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2015
2015
Multiplication Rules for Schur and Quasisymmetric Schur Functions
Jennifer Anderson
2015
Corpus ID: 42532925
An important problem in algebraic combinatorics is finding expansions of products of symmetric functions as sums of symmetric…
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2014
2014
Character formulae and a realization of tilting modules for $\mathfrak{sl}_2[t]$
M. Bennett
,
Vyjayanthi Chari
2014
Corpus ID: 119628034
In this paper we study the category of graded modules for the current algebra associated to $\mathfrak{sl}_2$. The category…
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2013
2013
A New Calculus on the Ring of Symmetric Functions and Its Applications
Yusuke Iwahashi
2013
Corpus ID: 118276905
This paper develops a new calculus on the ring of symmetric functions and introduces its application. In the last of this paper…
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2010
2010
Title Symmetric Functions and Generating Functions for Descents and Major Indices in Compositions Permalink
Evan
,
Remmel
2010
Corpus ID: 73695279
In [18], Mendes and Remmel showed how Gessel’s generating function for the distributions of the number of descents, the major…
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2009
2009
New Hopf Structures on Binary Trees (Extended Abstract)
S. Forcey
,
A. Lauve
,
F. Sottile
2009
Corpus ID: 10050026
The multiplihedra {M_n} form a family of polytopes originating in the study of higher categories and homotopy theory. While the…
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2009
2009
Macdonald polynomials and symmetric functions
Robin Langer
2009
Corpus ID: 115155416
The ring of symmetric functions $\Lambda$, with natural basis given by the Schur functions, arise in many different areas of…
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2007
2007
A Representation of Multiplicative Arithmetic Functions by Symmetric Polynomials
T. MacHenry
,
Kieh Wong
2007
Corpus ID: 16675785
We give a representation of the classical theory of multiplicative arithmetic functions (MF)in the ring of symmetric polynomials…
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2007
2007
Hopf Algebra Structure of the Character Rings of Orthogonal and Symplectic Groups
B. Fauser
,
P. Jarvis
,
R. C. King
2007
Corpus ID: 55772721
We study the character rings Char-O and Char-Sp of the orthogonal and symplectic subgroups of the general linear group, within…
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2005
2005
Distance 2 Permutation Statistics and Symmetric Functions
C. Severs
2005
Corpus ID: 17211686
This paper is presented as an undergraduate honors thesis by Christopher Severs under the supervision of Professor Jeffrey Remmel…
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