Results 11 to 20 of about 336 (128)
Noncommutative Symmetric Functions and an Amazing Matrix
Advances in Applied Mathematics, 2012 6 pagesInternational audienceWe present a simple way to derive the results of Diaconis and Fulman [arXiv:1102.5159] in terms of noncommutative symmetric ...
Jean-Christophe Novelli +3 more
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Noncommutative symmetric Bessel functions
Canadian Mathematical Bulletin, 2008 International audienceThe consideration of tensor products of 0-Hecke algebra modules leads to natural analogs of the Bessel J-functions in the algebra of noncommutative symmetric functions.
Thibon, Jean-Yves +1 more
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Noncommutative Shifted Symmetric Functions [PDF]
Moscow Mathematical Journal, 2019 We introduce a ring of noncommutative shifted symmetric functions based on an integer-indexed sequence of shift parameters. Using generating series and quasideterminants, this multiparameter approach produces deformations of the ring of noncommutative ...
Retakh, Vladimir, Laugwitz, Robert
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Differential operator specializations of noncommutative symmetric functions
Advances in Mathematics, 2007 Let K be any unital commutative Q-algebra and z=(z1,…,zn) commutative or noncommutative free variables. Let t be a formal parameter which commutes with z and elements of K.
Zhao, Wenhua
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Grothendieck bialgebras, Partition lattices, and symmetric functions in noncommutative variables [PDF]
The Electronic Journal of Combinatorics, 2006 We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative variables. In particular this isomorphism singles out a canonical new basis
Rosas, M. +3 more
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A Combinatorial Perspective on the Noncommutative Symmetric Functions
The Electronic Journal of CombinatoricsThe noncommutative symmetric functions $\textbf{NSym}$ were first defined abstractly by Gelfand et al. in 1995 as the free associative algebra generated by noncommuting indeterminants $\{\boldsymbol{e}_n\}_{n\in \mathbb{N}}$ that were taken as a ...
Hicks, Angela, McCloskey, Robert
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Chromatic quasisymmetric functions and noncommutative $P$-symmetric functions
Transactions of the American Mathematical SocietyFor a natural unit interval order $P$, we describe proper colorings of the incomparability graph of $P$ in the language of heaps. We also introduce a combinatorial operation, called a \emph{local flip}, on the heaps. This operation defines an equivalence
Hwang, Byung-Hak
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The primitives of the Hopf algebra of noncommutative symmetric functions
The São Paulo Journal of Mathematical Sciences, 2007 Let NSymm be the Hopf algebra of noncommutative symmetricfunctions over the integers. In this paper a description is givenof its Lie algebra of primitives over the integers, Prim(NSymm), interms of recursion formulas.
Hazewinkel, Michiel
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On some noncommutative symmetric functions analogous to Hall-Littlewood and Macdonald polynomials [PDF]
International Journal of Algebra and Computation, 2013 International audienceWe investigate the connections between various noncommutative analogues of Hall-Littlewood and Macdonald polynomials, and define some new families of noncommutative symmetric functions depending on two sequences of ...
Tevlin, Lenny +2 more
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A noncommutative approach to the Schur positivity of chromatic symmetric functions
, 2023 We obtain the Schur positivity of spider graphs of the forms $S(a,2,1)$ and $S(a,4,1)$, which are considered to have the simpliest structures for which the Schur positivity was unknown. The proof outline has four steps.
Wang, David G. L., Thibon, Jean-Yves
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