Add to ORKGStarting from a Hopf algebra endowed with an action of a group by Hopf automorphisms, we construct by a “twisted ” double method a quasitriangular Hopf -coalgebra. This method allows us to obtain non-trivial examples of quasitriangular Hopf -coalgebras for any finite group and for infinite groups such as GLnk . In particular, we define the graded quantum groups, which are Hopf -coalgebras for = hl and generalize the Drinfeld-Jimbo quantum enveloping algebras
AbstractIn the structure theory of quantized enveloping algebras, the algebra isomorphisms determine...
We give an overview of the classification results obtained so far for finite quasi-quantum groups ov...
AbstractLet (H, R) be a quasitriangular Hopf algebra acting on an algebra A. We study a concept of A...
AbstractWe put the known results on the antipode of a usual quasitriangular Hopf algebra into the fr...
AbstractLet X=GM be a finite group factorisation. It is shown that the quantum double D(H) of the as...
We review the recently introduced quasi-Hopf superalgebras and elliptic quantum supergroups. The for...
After Drinfel'd and Jimbo's construction of quantized universal enveloping algebra associated to eac...
Abstract. Given a Hopf algebra A graded by a discrete group together with an action of the same grou...
Given a Hopf algebra A graded by a discrete group together with an action of the same group preservi...
AbstractWe study algebraic properties of Hopf group-coalgebras, recently introduced by Turaev. We sh...
Abstract. The quantized enveloping algebra U q is constructed as a quotient of the generalized quant...
AbstractThe construction of the Drinfeld double D(H) of a finite dimensional Hopf algebra H was one ...
We survey Hopf algebras and their generalizations. In particular, we compare and contrast three well...
We study algebraic properties of Hopf group-coalgebras, recently introduced by Turaev. We show the e...
AbstractWe show that if gΓ is the quantum tangent space (or quantum Lie algebra in the sense of Woro...
AbstractIn the structure theory of quantized enveloping algebras, the algebra isomorphisms determine...
We give an overview of the classification results obtained so far for finite quasi-quantum groups ov...
AbstractLet (H, R) be a quasitriangular Hopf algebra acting on an algebra A. We study a concept of A...
AbstractWe put the known results on the antipode of a usual quasitriangular Hopf algebra into the fr...
AbstractLet X=GM be a finite group factorisation. It is shown that the quantum double D(H) of the as...
We review the recently introduced quasi-Hopf superalgebras and elliptic quantum supergroups. The for...
After Drinfel'd and Jimbo's construction of quantized universal enveloping algebra associated to eac...
Abstract. Given a Hopf algebra A graded by a discrete group together with an action of the same grou...
Given a Hopf algebra A graded by a discrete group together with an action of the same group preservi...
AbstractWe study algebraic properties of Hopf group-coalgebras, recently introduced by Turaev. We sh...
Abstract. The quantized enveloping algebra U q is constructed as a quotient of the generalized quant...
AbstractThe construction of the Drinfeld double D(H) of a finite dimensional Hopf algebra H was one ...
We survey Hopf algebras and their generalizations. In particular, we compare and contrast three well...
We study algebraic properties of Hopf group-coalgebras, recently introduced by Turaev. We show the e...
AbstractWe show that if gΓ is the quantum tangent space (or quantum Lie algebra in the sense of Woro...
AbstractIn the structure theory of quantized enveloping algebras, the algebra isomorphisms determine...
We give an overview of the classification results obtained so far for finite quasi-quantum groups ov...
AbstractLet (H, R) be a quasitriangular Hopf algebra acting on an algebra A. We study a concept of A...