4 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…
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…
Divided Power Integral forms of Affine Algebras
Margherita Paolini
In this paper, we shall prove that the integral subalgebra generated by the divided powers of the Drinfeld generators of an affine Kac-Moody algebra is an integral form. We compare…
On the integral form of rank 1 Kac-Moody algebras
Ilaria Damiani, Margherita Paolini
In this paper we shall prove that the subalgebra generated over the integers by the divided powers of the Drinfeld generators of the Kac-Moody algebra of type $A_2^{(2)…