7 citations · 29 across the 32 of their papers we have counts for
7 papers · 1 filter
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…
On the Classification of Lie Bialgebras by Cohomological Means
Seidon Alsaody, Arturo Pianzola
We approach the classification of Lie bialgebra structures on simple Lie algebras from the viewpoint of descent and non-abelian cohomology. We achieve a description of the problem…
Classification of Quantum Groups via Galois cohomology
Eugene Karolinsky, Arturo Pianzola, Alexander Stolin
The first example of a quantum group was introduced by P.~Kulish and N.~Reshetikhin. In their paper "Quantum linear problem for the sine-Gordon equation and higher representations"…
Belavin-Drinfeld quantum groups and Lie bialgebras: Galois cohomology considerations
Arturo Pianzola, Alexander Stolin
We relate the Belavin--Drinfeld cohomologies (twisted and untwisted) that have been introduced in the literature to study certain families of quantum groups and Lie bialgebras over…
Covering Algebras II: Isomorphism of Loop Algebras
Bruce Allison, Stephen Berman, Arturo Pianzola
This paper studies the loop algebras that arise from pairs consisting of a symmetrizable Kac-Moody Lie algebra $\g$ and a finite order automorphism of $\g$. We obtain necessary…