Add to ORKGLead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry and in particular their Lie algebra (of left invariant vectorfields). The examples of the quantum sl(2) Lie algebra and of the quantum (twisted) Poincare Lie algebra iso_\theta(3,1) are presented
We give functorial recipes to get, out of any Hopf algebra over a field, two pairs of Hopf algebras ...
We consider new Abelian twists of Poincare algebra describing nonsymmetric generalization of the one...
AbstractFor a commutative algebra the shuffle product is a morphism of complexes. We generalize this...
The general subject of this thesis is quantum groups. The major original results are obtained in the...
We review the construction of the multiparametric inhomogeneous orthogonal quantum group ISO_qr(N) a...
The “quantum duality principle” states that a quantisation of a Lie bialgebra provides also a quanti...
AbstractThe concept and some basic properties of a twisted Hopf algebra are introduced and investiga...
We spell two conundrums, one of physical and another of mathematical nature, and explain why one hel...
Let R be an integral domain, h non-zero in R such that R/hR is a field, and HA the category of torsi...
Let G be a connected, simply connected simple complex algebraic group and let ∈ be a primitive ℓth r...
AbstractWe give functorial recipes to get, out of any Hopf algebra over a field, two pairs of Hopf a...
EnIn this paper we construct the Differential calculus on the Hopf Group Coalgebra introduced by Tur...
Let G^dif be the group of all formal power series starting with x with coefficients in a field k of ...
The “quantum duality principle” states that a quantisation of a Lie bialgebra provides also a quanti...
We give an elementary introduction to the theory of algebraic and topological quantum groups (in the...
We give functorial recipes to get, out of any Hopf algebra over a field, two pairs of Hopf algebras ...
We consider new Abelian twists of Poincare algebra describing nonsymmetric generalization of the one...
AbstractFor a commutative algebra the shuffle product is a morphism of complexes. We generalize this...
The general subject of this thesis is quantum groups. The major original results are obtained in the...
We review the construction of the multiparametric inhomogeneous orthogonal quantum group ISO_qr(N) a...
The “quantum duality principle” states that a quantisation of a Lie bialgebra provides also a quanti...
AbstractThe concept and some basic properties of a twisted Hopf algebra are introduced and investiga...
We spell two conundrums, one of physical and another of mathematical nature, and explain why one hel...
Let R be an integral domain, h non-zero in R such that R/hR is a field, and HA the category of torsi...
Let G be a connected, simply connected simple complex algebraic group and let ∈ be a primitive ℓth r...
AbstractWe give functorial recipes to get, out of any Hopf algebra over a field, two pairs of Hopf a...
EnIn this paper we construct the Differential calculus on the Hopf Group Coalgebra introduced by Tur...
Let G^dif be the group of all formal power series starting with x with coefficients in a field k of ...
The “quantum duality principle” states that a quantisation of a Lie bialgebra provides also a quanti...
We give an elementary introduction to the theory of algebraic and topological quantum groups (in the...
We give functorial recipes to get, out of any Hopf algebra over a field, two pairs of Hopf algebras ...
We consider new Abelian twists of Poincare algebra describing nonsymmetric generalization of the one...
AbstractFor a commutative algebra the shuffle product is a morphism of complexes. We generalize this...