Diagonal Temperley-Lieb invariants and harmonics.
Aval, J.-C., Bergeron, F., Bergeron, N. (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Displaying similar documents to “Hopf algebras of words and overlapping shuffle algebra (Retracted)”
Diagonal Temperley-Lieb invariants and harmonics.
On the associative Nijenhuis relation.
Ebrahimi-Fard, Kurusch (2004)
The Electronic Journal of Combinatorics [electronic only]
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Coalgebra deformations of bialgebras by Harrison cocycles, copairings of Hopf algebras and double crosscoproducts.
Caenepeel, S., Dăscălescu, S., Militaru, G., Panaite, F. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Colored trees and noncommutative symmetric functions.
Szczesny, Matt (2010)
The Electronic Journal of Combinatorics [electronic only]
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Finite quantum groups over abelian groups of prime exponent
Nicolás Andruskiewitsch, Hans-Jürgen Schneider (2002)
Annales scientifiques de l'École Normale Supérieure
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Hopf structures on the Borel subalgebra of
Ogievetsky, O.
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Smash (co)products and skew pairings.
José N. Alonso Alvarez, José Manuel Fernández Vilaboa, Ramón González Rodríguez (2001)
Publicacions Matemàtiques
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Let τ be an invertible skew pairing on (B,H) where B and H are Hopf algebras in a symmetric monoidal category C with (co)equalizers. Assume that H is quasitriangular. Then we obtain a new algebra structure such that B is a Hopf algebra in the braided category γD and there exists a Hopf algebra isomorphism w: B ∞ H → B [×] H in C, where B ∞ H is a Hopf algebra with (co)algebra structure the smash (co)product and B [×] H is the Hopf algebra defined by Doi and Takeuchi. ...
Canonical characters on simple graphs
Tanja Stojadinović (2013)
Czechoslovak Mathematical Journal
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A multiplicative functional on a graded connected Hopf algebra is called the character. Every character decomposes uniquely as a product of an even character and an odd character. We apply the character theory of combinatorial Hopf algebras to the Hopf algebra of simple graphs. We derive explicit formulas for the canonical characters on simple graphs in terms of coefficients of the chromatic symmetric function of a graph and of canonical characters on quasi-symmetric functions. These...