Results 21 to 30 of about 680,985 (272)
Centrification of algebras and Hopf algebras [PDF]
Canadian Mathematical Bulletin, 2021 AbstractWe investigate a method of construction of central deformations of associative algebras, which we call centrification. We prove some general results in the case of Hopf algebras and provide several examples.
Rumynin, Dmitriy, Westaway, Matthew
openaire +3 more sources
A New Approach to Braided T-Categories and Generalized Quantum Yang–Baxter Equations
Mathematics, 2022 We introduce and study a large class of coalgebras (possibly (non)coassociative) with group-algebraic structures Hopf (non)coassociative group-algebras.
Senlin Zhang, Shuanhong Wang
doaj +1 more source
Rota-Baxter operators on cocommutative Hopf algebras. [PDF]
, 2020 We generalize the notion of a Rota-Baxter operator on groups and the notion of a Rota-Baxter operator of weight 1 on Lie algebras and define and study the notion of a Rota-Baxter operator on a cocommutative Hopf algebra $H$.
M. Goncharov
semanticscholar +1 more source
Cofree Hopf algebras on Hopf bimodule algebras [PDF]
Journal of Pure and Applied Algebra, 2015 We investigate a Hopf algebra structure on the cotensor coalgebra associated to a Hopf bimodule algebra which contains universal version of Clifford algebras and quantum groups as examples. It is shown to be the bosonization of the quantum quasi-shuffle algebra built on the space of its right coinvariants.
Fang, Xin, Jian, Run-Qiang
openaire +3 more sources
Baxter algebras and Hopf algebras [PDF]
Transactions of the American Mathematical Society, 2003 By applying a recent construction of free Baxter algebras, we obtain a new class of Hopf algebras that generalizes the classical divided power Hopf algebra. We also study conditions under which these Hopf algebras are isomorphic.
Andrews, George E. +3 more
openaire +2 more sources
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
doaj +1 more source
Higher Structures, 2021 We introduce the notion of an oplax Hopf monoid in any braided monoidal bicategory, generalizing that of a Hopf monoid in a braided monoidal category in an appropriate way. We show that Hopf V-categories introduced in [BCV16] are a particular type of oplax Hopf monoids in the monoidal bicategory Span|V described in [Böh17].
Buckley, Mitchell +3 more
openaire +4 more sources
Lattice of combinatorial Hopf algebras: binary trees with multiplicities [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In a first part, we formalize the construction of combinatorial Hopf algebras from plactic-like monoids using polynomial realizations. Thank to this construction we reveal a lattice structure on those combinatorial Hopf algebras.
Jean-Baptiste Priez
doaj +1 more source
Boundary and domain wall theories of 2d generalized quantum double model
Journal of High Energy Physics, 2023 The generalized quantum double lattice realization of 2d topological orders based on Hopf algebras is discussed in this work. Both left-module and right-module constructions are investigated.
Zhian Jia +2 more
doaj +1 more source