AbstractWe construct quantum commutators on module-algebras of quasi-triangular Hopf algebras. These are quantum-group covariant and have generalized antisymmetry and Leibniz properties. If the Hopf algebra is triangular they additionally satisfy a generalized Jacobi identity, turning the module-algebra into a quantum-Lie algebra
AbstractIn this article we study the structure of highest weight modules for quantum groups defined ...
AbstractWe construct a functor from a certain category of quantum semigroups to a category of quantu...
The “quantum duality principle” states that a quantisation of a Lie bialgebra provides also a quanti...
We construct quantum commutators on module-algebras of quasi-triangular Hopf algebras. These are qua...
AbstractLet (H, R) be a quasitriangular Hopf algebra acting on an algebra A. We study a concept of A...
Lead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry...
AbstractThe discussions in the present paper arise from exploring intrinsically the structural natur...
AbstractVarchenko's approach to quantum groups, from the theory of arrangements of hyperplanes, can ...
We propose a (first) simple natural model of a non-finitely generated braided non-commutative Hopf A...
The author is grateful to Y. Kremnizer for useful discussions and to the referee for careful reading...
AbstractFor a commutative algebra the shuffle product is a morphism of complexes. We generalize this...
For $\g=sl(n)$ we construct a two parametric $U_h(\g)$-invariant family of algebras, $(S\g)_{t,h}$, ...
International audienceWe give a new factorisable ribbon quasi-Hopf algebra U , whose underlying alge...
AbstractA key notion bridging the gap between quantum operator algebras [26] and vertex operator alg...
AbstractLet Oq(G) be the algebra of quantized functions on an algebraic group G and Oq(B) its quotie...
AbstractIn this article we study the structure of highest weight modules for quantum groups defined ...
AbstractWe construct a functor from a certain category of quantum semigroups to a category of quantu...
The “quantum duality principle” states that a quantisation of a Lie bialgebra provides also a quanti...
We construct quantum commutators on module-algebras of quasi-triangular Hopf algebras. These are qua...
AbstractLet (H, R) be a quasitriangular Hopf algebra acting on an algebra A. We study a concept of A...
Lead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry...
AbstractThe discussions in the present paper arise from exploring intrinsically the structural natur...
AbstractVarchenko's approach to quantum groups, from the theory of arrangements of hyperplanes, can ...
We propose a (first) simple natural model of a non-finitely generated braided non-commutative Hopf A...
The author is grateful to Y. Kremnizer for useful discussions and to the referee for careful reading...
AbstractFor a commutative algebra the shuffle product is a morphism of complexes. We generalize this...
For $\g=sl(n)$ we construct a two parametric $U_h(\g)$-invariant family of algebras, $(S\g)_{t,h}$, ...
International audienceWe give a new factorisable ribbon quasi-Hopf algebra U , whose underlying alge...
AbstractA key notion bridging the gap between quantum operator algebras [26] and vertex operator alg...
AbstractLet Oq(G) be the algebra of quantized functions on an algebraic group G and Oq(B) its quotie...
AbstractIn this article we study the structure of highest weight modules for quantum groups defined ...
AbstractWe construct a functor from a certain category of quantum semigroups to a category of quantu...
The “quantum duality principle” states that a quantisation of a Lie bialgebra provides also a quanti...
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