We present a method of constructing known deformed or undeformed oscillators as quotients of certain models of Hopf-type oscillator algebras, using similar techniques to those of determining fix point sets of the adjoint action of a Hopf algebra. Moreover we give a characterization of these models in terms of these quotients coupled to Euclidean Clifford algebra. A theorem is proved which provides representations of the models, induced from those of a certain type of quotient algebra
International audienceWe give a new factorisable ribbon quasi-Hopf algebra U , whose underlying alge...
AbstractA quantized symplectic oscillator algebra of rank 1 is a PBW deformation of the smash produc...
AbstractThe concept and some basic properties of a twisted Hopf algebra are introduced and investiga...
We present a method of constructing known deformed or undeformed oscillators as quotients of certain...
AbstractWe propose a variant to the Etingof–Kazhdan construction of quantization functors. We constr...
AbstractWe define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by ℏ-adic va...
AbstractWe study quasi-Hopf algebras and their subobjects over certain commutative rings from the po...
Lead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry...
AbstractWe construct new finite dimensional basic quasi-Hopf algebras A(q) of dimension n3, n>2, par...
EnIn this paper we construct the Differential calculus on the Hopf Group Coalgebra introduced by Tur...
AbstractLet A be a Hopf algebra and H a coalgebra. We shall describe and classify up to an isomorphi...
We determine finite-dimensional Hopf algebras over an algebraically closed field of characteristic z...
The general form and associativity conditions of deformed oscillator algebras are reviewed. It is sh...
AbstractWe introduce the notions of Hopf quasigroup and Hopf coquasigroup H generalising the classic...
The multiparameter quantized enveloping algebras Uq(gA) constructed by Pei, Hu and Rosso [Quantum af...
International audienceWe give a new factorisable ribbon quasi-Hopf algebra U , whose underlying alge...
AbstractA quantized symplectic oscillator algebra of rank 1 is a PBW deformation of the smash produc...
AbstractThe concept and some basic properties of a twisted Hopf algebra are introduced and investiga...
We present a method of constructing known deformed or undeformed oscillators as quotients of certain...
AbstractWe propose a variant to the Etingof–Kazhdan construction of quantization functors. We constr...
AbstractWe define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by ℏ-adic va...
AbstractWe study quasi-Hopf algebras and their subobjects over certain commutative rings from the po...
Lead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry...
AbstractWe construct new finite dimensional basic quasi-Hopf algebras A(q) of dimension n3, n>2, par...
EnIn this paper we construct the Differential calculus on the Hopf Group Coalgebra introduced by Tur...
AbstractLet A be a Hopf algebra and H a coalgebra. We shall describe and classify up to an isomorphi...
We determine finite-dimensional Hopf algebras over an algebraically closed field of characteristic z...
The general form and associativity conditions of deformed oscillator algebras are reviewed. It is sh...
AbstractWe introduce the notions of Hopf quasigroup and Hopf coquasigroup H generalising the classic...
The multiparameter quantized enveloping algebras Uq(gA) constructed by Pei, Hu and Rosso [Quantum af...
International audienceWe give a new factorisable ribbon quasi-Hopf algebra U , whose underlying alge...
AbstractA quantized symplectic oscillator algebra of rank 1 is a PBW deformation of the smash produc...
AbstractThe concept and some basic properties of a twisted Hopf algebra are introduced and investiga...