3 papers
math.QA2026
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…
math.QA2025
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…
math.AG2024
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…