output
20132024
most citedInvariant bilinear forms of algebras given by faithfully flat descent

4 citations

6 papers

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…

math.GR2021

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…

math.RA2019★ 3 cited

-triviality of Groups of Type Arising from the First Tits Construction

Seidon Alsaody, Vladimir Chernousov, Arturo Pianzola

Any group of type is obtained as the automorphism group of an Albert algebra. We prove that such a group is -trivial whenever the Albert algebra is obtained from the…

math.QA2018★ 3 cited

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"…

math.RA2013★ 4 cited

Invariant bilinear forms of algebras given by faithfully flat descent

E. Neher, A. Pianzola, D. Prelat +1

The existence of nondegenerate invariant bilinear forms is one of the most important tools in the study of Kac-Moody Lie algebras and extended affine Lie algebras. In practice, the…

math.RA2013

On twisted large N=4 conformal superalgebras

Zhihua Chang, Arturo Pianzola

We explicitly compute the automorphism group of the large N = 4 conformal superalgebra and classify the twisted loop conformal superalgebras based on the large N = 4 conformal supe…