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Automorphisms of toroidal Lie superalgebras

Research paper by Dimitar Grantcharov, Arturo Pianzola

Indexed on: 14 Apr '07Published on: 14 Apr '07Published in: Mathematics - Rings and Algebras



Abstract

We give a detailed description of the algebraic group Aut(g) of automorphisms of a simple finite dimensional Lie superalgebra g over an algebraically closed field k of characteristic 0. We also give a description of the group of automorphisms of the k-Lie superalgebra $g \otimes_k R$ whenever R is a Noetherian domain with trivial Picard group.