Results 11 to 20 of about 28,962 (144)
Bell polynomials in combinatorial Hopf algebras
Comptes Rendus. Mathématique, 2017 We introduce partial $r$-Bell polynomials in three combinatorial Hopf algebras. We prove a factorization formula for the generating functions which is a consequence of the Zassenhauss formula.Comment: 7 ...
Ali Chouria, Jean-Gabriel Luque
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Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras [PDF]
Journal of Algebraic Combinatorics, 2009 We develop a theory of multigraded (i.e., ℕl-graded) combinatorial Hopf algebras modeled on the theory of graded combinatorial Hopf algebras developed by Aguiar et al. (Compos. Math. 142:1–30, 2006).
Samuel K. Hsiao, Gizem Karaali
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Combinatorial Hopf Algebras and Towers of Algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Bergeron and Li have introduced a set of axioms which guarantee that the Grothendieck groups of a tower of algebras $\bigoplus_{n \geq 0}A_n$ can be endowed with the structure of graded dual Hopf algebras.
Nantel Bergeron, Thomas Lam, Huilan Li
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A Uniform Generalization of Some Combinatorial Hopf Algebras [PDF]
Algebras and Representation Theory, 2015 We generalize the Hopf algebras of free quasisymmetric functions, quasisymmetric functions, noncommutative symmetric functions, and symmetric functions to certain representations of the category of finite Coxeter systems and its dual category.
Jia Huang
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Shifted combinatorial Hopf algebras from
Algebraic Combinatorics, 2022 In prior joint work with Lewis, we developed a theory of enriched set-valued $P$-partitions to construct a $K$-theoretic generalization of the Hopf algebra of peak quasisymmetric functions.
Eric Marberg
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Combinatorial Hopf algebras and K-homology of Grassmanians [PDF]
International Mathematics Research Notices, 2007 Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, we study six combinatorial Hopf algebras. These Hopf algebras can be thought of as K-theoretic analogues of the by now classical ``square'' of Hopf algebras
T. Lam, P. Pylyavskyy
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Superization and (q, t)-Specialization in Combinatorial Hopf Algebras [PDF]
The Electronic Journal of Combinatorics, 2008 We extend a classical construction on symmetric functions, the superization process, to several combinatorial Hopf algebras, and obtain analogs of the hook-content formula for the (q,t)-specializations of various bases.
J. Novelli, J. Thibon
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Polynomial realizations of some combinatorial Hopf algebras [PDF]
Journal of Noncommutative Geometry, 2010 We construct explicit polynomial realizations of some combinatorial Hopf algebras based on various kind of trees or forests, and some more general classes of graphs, ranging from the Connes-Kreimer algebra to an algebra of labelled forests isomorphic to ...
L. Foissy, J. Novelli, J. Thibon
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Lie groups of controlled characters of combinatorial Hopf algebras [PDF]
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2016 In this article groups of controlled characters of a combinatorial Hopf algebra are considered from the perspective of infinite-dimensional Lie theory. A character is controlled in our sense if it satisfies certain growth bounds, e.g.\ exponential growth.
R. Dahmen, Alexander Schmeding
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Bell polynomials in combinatorial Hopf algebras
, 2016 Partial multivariate Bell polynomials have been defined by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities, etc.
Aboud, Ammar +4 more
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