In this paper, the concepts of a weak Hopf algebra and a quasi-braided almost bialgebra are introduced. It is shown that the quantum quasi-doubles of some weak Hopf algebras are quasi-braided almost bialgebras. This fact implies that some new solutions of the quantum Yang]Baxter equation can be constructed from some weak Hopf algebras, in particular, when the weak Hopf algebra is a finite Clifford monoid algebra. Q 1998 Academic Pres
Quantum quasigroups are algebraic structures providing a general self-dual framework for the nonasso...
The Drinfeld twist for the opposite quasi-Hopf algebra, H-COP, is determined and is shown to be rela...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
AbstractIn this paper, the concepts of a weak Hopf algebra and a quasi-braided almost bialgebra are ...
AbstractIn this paper, the concepts of a weak Hopf algebra and a quasi-braided almost bialgebra are ...
Generalization of Hopf algebra SIq (2) by weakening the invertibility of the generator K, i.e., exch...
This paper answers a few questions about algebraic aspects of bialgebras, associated with the family...
This work is a development of braids, tensor categories and Yang–Baxter opera-tors. According to Li ...
In this paper we present new examples of weak Yang-Baxter operators working with quasitriangular and...
The concept of biperfect (noncocommutative) weak Hopf algebras is introduced and their properties ar...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitri...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
We define some new algebraic structures, termed colored Hopf algebras, by combining the coalgebra st...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
Quantum quasigroups are algebraic structures providing a general self-dual framework for the nonasso...
The Drinfeld twist for the opposite quasi-Hopf algebra, H-COP, is determined and is shown to be rela...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
AbstractIn this paper, the concepts of a weak Hopf algebra and a quasi-braided almost bialgebra are ...
AbstractIn this paper, the concepts of a weak Hopf algebra and a quasi-braided almost bialgebra are ...
Generalization of Hopf algebra SIq (2) by weakening the invertibility of the generator K, i.e., exch...
This paper answers a few questions about algebraic aspects of bialgebras, associated with the family...
This work is a development of braids, tensor categories and Yang–Baxter opera-tors. According to Li ...
In this paper we present new examples of weak Yang-Baxter operators working with quasitriangular and...
The concept of biperfect (noncocommutative) weak Hopf algebras is introduced and their properties ar...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitri...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
We define some new algebraic structures, termed colored Hopf algebras, by combining the coalgebra st...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
Quantum quasigroups are algebraic structures providing a general self-dual framework for the nonasso...
The Drinfeld twist for the opposite quasi-Hopf algebra, H-COP, is determined and is shown to be rela...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...