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Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited [PDF]
Annals of Combinatorics, 2011 21 pages, Latex, 2 ...
Florent Hivert +2 more
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Noncommutative symmetric functions and skewing operators
Discrete MathematicsSkewing 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
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Dual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorization
Journal of Symbolic Computation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V Hoang Ngoc Minh
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Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions
2000In 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. +2 more
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Noncommutative symmetric functions and combinatorial Hopf algebras
2011We 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.
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Noncommutative symmetric functions of type B
2001The noncommutative symmetric functions Sym of Gelfand et al. give not only a lifting of the well-developed commutative theory of symmetric functions to the non-commutative level, but also relate the descent algebras of Solomon and the quasi-symmetric functions, where the latter are dual to the noncommutative symmetric functions equipped with the ...
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Symmetric Functions, Noncommutative Symmetric Functions, and Quasisymmetric Functions
Acta Applicandae Mathematicae, 2003Michiel Hazewinkel
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