7 citations · 29 across the 32 of their papers we have counts for
36 papers
Representability of the automorphism group of finitely generated vertex algebras
Terry Gannon, Robin Mader, Arturo Pianzola
We study the automorphism groups attached to a free algebra with multiple, possibly infinitely many, composition laws. As an application, we prove that the automorphism group of fi…
Descent Theory for Vertex Algebras
Robin Mader, Terry Gannon, Arturo Pianzola
Vertex algebras can be defined over any differential commutative ring. We develop the general descent theory for vertex algebras over such bases. We apply this to the classificatio…
Loop torsors. Theory and applications
Philippe Gille, Vladimir Chernousov, Arturo Pianzola
Loop torsors over Laurent polynomial rings in characteristic 0 were originally introduced in relation to infinite dimensional Lie theory. Applications to other areas require a theo…
Fiberwise criteria for Twisted Forms of Algebraic Structures
Philippe Gille, Arturo Pianzola
We provide a criterion for certain algebraic objects over Jacobson schemes to be forms of each other based on their behaviour at closed fibres. This criterion permits to answer a q…
A characterization of groups of type arising from the first Tits construction
Vladimir Chernousov, Alexandre Lourdeaux, Arturo Pianzola
We show that algebraic groups of type (or equivalently Albert algebras) arising from the first Tits construction are determined uniquely by their invariant.
Affine Kac-Moody groups and Lie algebras in the language of SGA3
Jun Morita, Arturo Pianzola, Taiki Shibata
In infinite-dimensional Lie theory, the affine Kac-Moody Lie algebras and groups play a distinguished role due to their many applications to various areas of mathematics and physic…