Results 111 to 120 of about 206 (146)

Weak Hopf algebras and weak Yang–Baxter operators

Journal of Algebra, 2008
In the paper under review the notions of weak Yang-Baxter operator and weak braided Hopf algebra are introduced. It is shown that it is possible to obtain examples of these notions working with Yetter-Drinfeld modules associated to a weak Hopf algebra \(H\) with invertible antipode.
J N Alonso Alvarez, J M Fernández Vilaboa, R Gonzalez Rodríguez   +2 more
exaly   +2 more sources

Structure Theorems for Bicomodule Algebras Over Quasi-Hopf Algebras, Weak Hopf Algebras, and Braided Hopf Algebras [PDF]

Communications in Algebra, 2016
24 pages, many ...
Florin Panaite, Yinhuo Zhang, Freddy van Oystaeyen   +2 more
exaly   +4 more sources

Some of the next articles are maybe not open access.

Related searches:

Projections of weak braided Hopf algebras

Science China Mathematics, 2011
In the paper under review, the authors generalize the results of \textit{D. E. Radford} [J. Algebra 92, 322-347 (1985; Zbl 0549.16003)] on projections of Hopf algebras and of \textit{J. N. Alonso Álvarez, R. González Rodríguez, J. M. Fernández Vilaboa, M. P. López López} and \textit{E. Villanueva Novoa} [J. Algebra 269, No.
Jose Nicanor Alonso Alvarez, Ramon Gonzalez Rodríguez   +1 more
exaly   +2 more sources

On Weak Crossed Products of Weak Hopf Algebras

Algebras and Representation Theory, 2011
This paper extends to weak Hopf algebras [see \textit{G. Böhm} and \textit{K. Szlachányi}, Lett. Math. Phys. 38, No. 4, 437-456 (1996; Zbl 0872.16022)] the notion of cross product (with a given cocycle \(\sigma\)) of a Hopf algebra \(H\) with an algebra \(A\) which measures \(H\). Then it explores some properties of this weak cross product \(H\#_\sigma
Ling Liu, Shuan-Hong Wang
exaly   +3 more sources

Automorphism group of green algebra of weak Hopf algebra corresponding to Sweedler Hopf algebra

Czechoslovak Mathematical Journal, 2022
The authors consider the ring \(A=\mathbb{Z}[x,y,z]/(x^2-1,y^2-xy-y,xz-z,yz-2z,z^2-z)\), which is proved in \textit{D. Su} and \textit{S. Yang} [Period. Math. Hung. 76, No. 2, 229--242 (2018; Zbl 1399.16085)] to be the Green ring of a certain weak Hopf algebra constructed from Sweedler's 4-dimensional Hopf algebra.
Cao, Liufeng, Su, Dong, Yao, Hua
openaire   +1 more source

Weak Hopf Quivers, Clifford Monoids and Weak Hopf Algebras

Arabian Journal for Science and Engineering, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmed, Munir, Li, Fang
openaire   +1 more source

Weak Multiplier Hopf Algebras II: Source and Target Algebras [PDF]

Symmetry, 2020
Let (A,Δ) be a weak multiplier Hopf algebra. It is a pair of a non-degenerate algebra A, with or without identity, and a coproduct Δ:A⟶M(A⊗A), satisfying certain properties. In this paper, we continue the study of these objects and construct new examples.
Alfons Van Daele, Shuanhong Wang
exaly   +5 more sources

Weak Hopf algebras with projection and weak smash bialgebra structures

Journal of Algebra, 2003
The aim of this paper is to investigate weak Hopf algebras with projection. As a generalization of the corresponding theory of Hopf algebras, for a weak Hopf algebra \(H\), the authors introduce the category of weak Yetter-Drinfeld modules, denoted by \(^H_H\mathcal{WYD}\). For morphisms of weak Hopf algebras \(f\colon H\to B\), \(g\colon B\to H\) such
J N Alonso Alvarez, J M Fernández Vilaboa, R Gonzalez Rodríguez   +2 more
exaly   +2 more sources

Twisting theory for weak Hopf algebras

Applied Mathematics-A Journal of Chinese Universities, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Juzhen, Zhang, Yan, Wang, Shuanhong   +2 more
openaire   +2 more sources

Weak Hopf Algebra Structures on Hybrid Numbers

Symmetry
Let K be the algebra of hybrid numbers. In this paper, a weak Hopf algebra structure is endowed on K. Additionally, the integrals in this weak Hopf algebra K are discussed.
Jiangang Tang, Quanguo Chen
exaly   +3 more sources