53 citations · 216 across the 44 of their papers we have counts for
46 papers
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 Supergroups, Deformations and Specializations
Gastón Andrés García, 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…
Quantum group deformations and quantum -(co)matrices vs. Quantum Duality Principle
Gastón Andrés García, Fabio Gavarini
In this paper we describe the effect on quantum groups -- namely, both QUEA's and QFSHA's -- of deformations by twist and by 2-cocycles, showing how such deformations affect the se…
Super Kähler structures on the complex Abelian Lie supergroups
Meng-Kiat Chuah, Fabio Gavarini
Let be a real Abelian Lie supergroup, let be its complexification. We classify the -invariant super Kähler forms on . For the super Kähler forms with Hamiltonian acti…
Formal multiparameter quantum groups, deformations and specializations
Gastón Andrés García, 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…