Let G be a connected, simply connected simple complex algebraic group and let ∈ be a primitive ℓth root of unity with ℓ odd and coprime with 3 if G is of type G₂. We determine all Hopf algebra quotients of the twisted multiparameter quantum function algebra Oφ∈ (G) introduced by Costantini and Varagnolo. This extends the results of Andruskiewitsch and the first author, where the untwisted case is treated.Facultad de Ciencias Exacta
Given a Hopf algebra A graded by a discrete group together with an action of the same group preservi...
Abstract. Given a Hopf algebra A graded by a discrete group together with an action of the same grou...
In this paper we apply the theory of the quantum groups Uq(g), and of the small quantum groups uq(g)...
Let G be a connected, simply connected simple complex algebraic group and let ɛ be a primitive ℓth r...
Lead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry...
AbstractLet g be a finite dimensional complex simple Lie algebra and U(g) its enveloping algebra. Th...
AbstractIn this paper we will deal with quantum function algebrasFq[G] in the special case when the ...
Abstract. Let G be a connected, simply connected complex semi-simple Lie group with Lie algebra g, C...
We address the study of multiparameter quantum groups (=MpQG's) at roots of unity, namely quantum un...
Let G Be a simply connected compact Lie group and g be its complexified Lie algebra. Building on the...
AbstractThe concept and some basic properties of a twisted Hopf algebra are introduced and investiga...
The general subject of this thesis is quantum groups. The major original results are obtained in the...
Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, F...
In this paper we study two deformation procedures for quantum groups: deformations by twists, that w...
We calculate the first Hochschild cohomology group of quantum matrices, the quantum general linear g...
Given a Hopf algebra A graded by a discrete group together with an action of the same group preservi...
Abstract. Given a Hopf algebra A graded by a discrete group together with an action of the same grou...
In this paper we apply the theory of the quantum groups Uq(g), and of the small quantum groups uq(g)...
Let G be a connected, simply connected simple complex algebraic group and let ɛ be a primitive ℓth r...
Lead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry...
AbstractLet g be a finite dimensional complex simple Lie algebra and U(g) its enveloping algebra. Th...
AbstractIn this paper we will deal with quantum function algebrasFq[G] in the special case when the ...
Abstract. Let G be a connected, simply connected complex semi-simple Lie group with Lie algebra g, C...
We address the study of multiparameter quantum groups (=MpQG's) at roots of unity, namely quantum un...
Let G Be a simply connected compact Lie group and g be its complexified Lie algebra. Building on the...
AbstractThe concept and some basic properties of a twisted Hopf algebra are introduced and investiga...
The general subject of this thesis is quantum groups. The major original results are obtained in the...
Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, F...
In this paper we study two deformation procedures for quantum groups: deformations by twists, that w...
We calculate the first Hochschild cohomology group of quantum matrices, the quantum general linear g...
Given a Hopf algebra A graded by a discrete group together with an action of the same group preservi...
Abstract. Given a Hopf algebra A graded by a discrete group together with an action of the same grou...
In this paper we apply the theory of the quantum groups Uq(g), and of the small quantum groups uq(g)...