7 papers
Multiparameter Quantum Supergroups, Deformations and Specializations
Gastón Andrés GarcÃa, Fabio Gavarini, Margherita Paolini
In this paper we introduce a multiparameter version of the quantum universal enveloping superalgebras introduced by Yamane in [H. Yamane, "Quantized enveloping algebras associated…
Formal multiparameter quantum groups, deformations and specializations
Gastón Andrés GarcÃa, Fabio Gavarini
We introduce the notion of formal multiparameter quantum universal enveloping algebras - in short FoMpQUEA - as a straightforward generalization of Drinfeld's quantum group. Then w…
Multiparameter quantum general linear supergroup
Fabio Gavarini, Margherita Paolini
We introduce uniparametric and multiparametric quantisations of the general linear supergroup, in the form of "quantised function algebras", both in a formal setting - yielding "qu…
Duality for action bialgebroids
Sophie Chemla, Fabio Gavarini, Niels Kowalzig
We study the effect of linear duality on action bialgebroids (also known as smash product or scalar extension bialgebroids) and, for those bearing a quantisation nature, the effect…
Multiparameter quantum groups at roots of unity
Gastón Andrés GarcÃa, Fabio Gavarini
We address the study of multiparameter quamtum groups (=MpQG's) at roots of unity, namely quantum universal enveloping algebras depending o…
Twisted deformations vs. cocycle deformations for quantum groups
Gastón Andrés GarcÃa, Fabio Gavarini
In this paper we study two deformation procedures for quantum groups: deformations by twists, that we call "comultiplication twisting", as they modify the coalgebra structure, whil…