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Schröder trees and antipode formulas: An application to non-commutative probability and Wick polynomials

Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions
The double tensor Hopf algebra has been introduced by Ebrahimi-Fard and Patras to provide an algebraic framework for cumulants in non-commutative probability theory.
Adrián Celestino, Yannic Vargas
semanticscholar   +1 more source

ON BI-/HOPF ALGEBRAS AND THEIR APPLICATIONS TO RENORMALIZATION PROBLEMS AND OPERADIC ALGEBRAS

In this thesis, we develop an algebraic framework for colored, colored connected, semi-grouplike-flavored, and pathlike co-/bi-/Hopf algebras, which are essential in combinatorics, topology, number theory, and physics. Moreover, we introduce and explore simply colored comonoid, which generalises the notion of colored conilpotent coalgebra.
openaire   +1 more source

Green rings of weak Hopf algebras based on generalized Taft algebras

Periodica Mathematica Hungarica, 2017
Dong Su
exaly  

Cuntz Semigroups of Compact-Type Hopf C*-Algebras

Axioms, 2017
Dan Z Kučerovský
exaly  

Finite Dimensional Hopf Algebras Over the Dual Group Algebra of the Symmetric Group in Three Letters

Communications in Algebra, 2011
Nicolás Andruskiewitsch, Cristian Vay
exaly  

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