Results 111 to 120 of about 336 (128)

A Noncommutative Cycle Index and New Bases of Quasi-symmetric Functions and Noncommutative Symmetric Functions [PDF]

Annals of Combinatorics, 2020
We define a new basis of the algebra of quasi-symmetric functions by lifting the cycle-index polynomials of symmetric groups to noncommutative polynomials with coefficients in the algebra of free quasi-symmetric functions, and then projecting the coefficients to $QSym$.
Jean-Christophe Novelli, Jean-Yves Thibon, Novelli Jean-Christophe   +2 more
exaly   +4 more sources

Noncommutative symmetric functions and skewing operators

Discrete Mathematics
Skewing operators play a central role in the symmetric function theory because of the importance of the product structure of the symmetric function space. The theory of noncommutative symmetric functions is a useful tool for studying expansions of a given symmetric function in terms of various bases. In this paper, we establish a further development of
Byung-Hak Hwang
exaly   +3 more sources

Dual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorization

Journal of Symbolic Computation, 2016
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V Hoang Ngoc Minh
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Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions

2000
In this paper, we investigate various kinds of generalisations of symmetric functions. The classical algebra Sym of symmetric functions is embedded in QSym, the algebra of quasi-symmetric functions, and is also a quotient of the algebra Sym of noncommutative symmetric functions.
Duchamp, G., Hivert, Florent, Thibon, Jean-Yves   +2 more
openaire   +2 more sources

Noncommutative symmetric functions and combinatorial Hopf algebras

2011
We present on a few examples a class of algebras which are increasingly popular in Combinatorics, and tend to permeate other fields as well. In particular, some of these algebras have connections with mould calculus and resurgence theory. They can be approached in many different ways.
openaire   +1 more source

Noncommutative Symmetric Functions, Lie Series and Descent Algebras

2021
Jean-Yves Thibon
exaly  

Symmetric Functions, Noncommutative Symmetric Functions and Quasisymmetric Functions II

Acta Applicandae Mathematicae, 2005
Michiel Hazewinkel, Hazewinkel Michiel
exaly  

A noncommutative symmetric system over the Grossman-Larson Hopf algebra of labeled rooted trees

Journal of Algebraic Combinatorics, 2007
Wenhua Zhao, Zhao Wenhua
exaly  

Rosenthal inequalities in noncommutative symmetric spaces

Journal of Functional Analysis, 2011
Sjoerd Dirksen, Ben De Pagter, Denis Potapov   +2 more
exaly  

Duality for symmetric Hardy spaces of noncommutative martingales

Mathematische Zeitschrift, 2017
Turdebek N Bekjan, Bekjan Turdebek N
exaly