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Derivations of certain algebras defined by étale descent
Arturo Pianzola
We give an explicit description of the Lie algebra of derivations for a class of infinite dimensional algebras which are given by étale descent. The algebras under consideration ar…
Differential Conformal Superalgebras and their Forms
Victor Kac, Michael Lau, Arturo Pianzola
We introduce the formalism of differential conformal superalgebras, which we show leads to the "correct" automorphism group functor and accompanying descent theory in the conformal…
Multiloop realization of extended affine Lie algebras and Lie tori
Bruce Allison, Stephen Berman, John Faulkner +1
An important theorem in the theory of infinite dimensional Lie algebras states that any affine Kac-Moody algebra can be realized (that is to say constructed explicitly) using loop…
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…