6 citations · 6 across the 3 of their papers we have counts for
5 papers
Automorphisms and twisted loop algebras of finite dimensional simple Lie superalgebras
Dimitar Grantcharov, Arturo Pianzola
We describe the structure of the algebraic group of automorphisms of all simple finite dimensional Lie superalgebras. Using this and étale cohomology considerations, we list all di…
Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras
A. Pianzola
For g a split semisimple Lie algebra over a field of characteristic 0, we link locally trivial principal homogeneous spaces over Spec(R) to the question of conjugacy of maximal abe…
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…
Affine Kac-Moody Lie algebras as torsors over the punctured line
A. Pianzola
We interpret and develop a theory of loop algebras as torsors (principal homogeneous spaces) over Laurent polynomial rings . As an application, we recover Kac's realization of affi…
Covering AlgebrasI: Extended Affine Lie Algebras
Bruce Allison, Stephen Berman, Arturo Pianzola
Covering Algebras of extended affine Lie algebras(EALA's) relative to finite order automorphisms are studied. Conditions are given for when the resulting algebra is again an EALA.…