53 citations · 180 across the 63 of their papers we have counts for
12 papers · 1 filter
On Fundamental Theorems of Invariant Theory for the Special Linear Supergroup
Junaid Razzaq, Rita Fioresi, Maria A. Lledo
The purpose of this paper is to prove the First and Second Fundamental Theorems of invariant theory for the complex special linear supergroup and discuss the superalgebra of invari…
Real forms of complex Lie superalgebras and supergroups
Rita Fioresi, Fabio Gavarini
We investigate the notion of real form of complex Lie superalgebras and supergroups, both in the standard and graded version. Our functorial approach allows most naturally to go fr…
Algebraic supergroups with Lie superalgebras of classical type
Rita Fioresi, Fabio Gavarini
We show that every connected affine algebraic supergroup defined over a field k, with diagonalizable maximal torus and whose tangent Lie superalgebra is a k-form of a complex simpl…
On the construction of Chevalley Supergroups
R. Fioresi, F. Gavarini
We give a description of the construction of Chevalley supergroups, providing some explanatory examples. We avoid the discussion of the , and cases, for which…
The local functors of points of Supermanifolds
L. Balduzzi, C. Carmeli, R. Fioresi
We study the local functor of points (which we call the Weil-Berezin functor) for smooth supermanifolds, providing a characterization, representability theorems and applications to…
A Comparison of the functors of points of Supermanifolds
L. Balduzzi, C. Carmeli, R. Fioresi
We study the functor of points and the local functor of points (here called the Weil--Berezin functor) for smooth and holomorphic supermanifolds, providing characterization theorem…