We review the construction of the multiparametric inhomogeneous orthogonal quantum group ISO_qr(N) as a projection from SO_qr(N+2), and recall the conjugation that for N=4 leads to the quantum Poincare group. We study the properties of the universal enveloping algebra U_qr(iso(N)), and give an R-matrix formulation. A quantum Lie algebra and a bicovariant differential calculus on twisted ISO(N) are found
AbstractThe universal enveloping algebra U(G) of a Lie algebra G acts on its representation ring R t...
A brief review of the construction and classifiaction of the bicovariant differential calculi on qua...
I review and illustrate applications of explicit functionals we have found which map SU(2) algebra g...
The general subject of this thesis is quantum groups. The major original results are obtained in the...
Lead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry...
We address the study of multiparameter quantum groups (=MpQG's) at roots of unity, namely quantum un...
We introduce the notion of formal multiparameter quantum universal enveloping algebras - in short Fo...
A bicovariant calculus of differential operators on a quantum group is constructed in a natural way,...
We consider new Abelian twists of Poincare algebra describing nonsymmetric generalization of the one...
In this paper we study two deformation procedures for quantum groups: deformations by twists, that w...
In the present paper, we first introduce a quantum $n$-space on which the algebra of coordinates is ...
Three-dimensional bicovariant differential calculus on the quantum group SU_q(2) is constructed usin...
We study the consequences of twisting the Poincare invariance in a quantum field theory. First, we c...
We construct quantum deformation of Poincar\'e group using as a starting point $SU(2,2)$ conformal g...
AbstractThe Hopf algebra generated by the l-functionals on the quantum double Cq[G]⋈Cq[G] is conside...
AbstractThe universal enveloping algebra U(G) of a Lie algebra G acts on its representation ring R t...
A brief review of the construction and classifiaction of the bicovariant differential calculi on qua...
I review and illustrate applications of explicit functionals we have found which map SU(2) algebra g...
The general subject of this thesis is quantum groups. The major original results are obtained in the...
Lead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry...
We address the study of multiparameter quantum groups (=MpQG's) at roots of unity, namely quantum un...
We introduce the notion of formal multiparameter quantum universal enveloping algebras - in short Fo...
A bicovariant calculus of differential operators on a quantum group is constructed in a natural way,...
We consider new Abelian twists of Poincare algebra describing nonsymmetric generalization of the one...
In this paper we study two deformation procedures for quantum groups: deformations by twists, that w...
In the present paper, we first introduce a quantum $n$-space on which the algebra of coordinates is ...
Three-dimensional bicovariant differential calculus on the quantum group SU_q(2) is constructed usin...
We study the consequences of twisting the Poincare invariance in a quantum field theory. First, we c...
We construct quantum deformation of Poincar\'e group using as a starting point $SU(2,2)$ conformal g...
AbstractThe Hopf algebra generated by the l-functionals on the quantum double Cq[G]⋈Cq[G] is conside...
AbstractThe universal enveloping algebra U(G) of a Lie algebra G acts on its representation ring R t...
A brief review of the construction and classifiaction of the bicovariant differential calculi on qua...
I review and illustrate applications of explicit functionals we have found which map SU(2) algebra g...
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