Automorphisms of toroidal Lie superalgebras

2006/02/11 by Dimitar Grantcharov, Grantcharov, Dimitar, Arturo Pianzola +1
Mathematics · #17B40 #17B67 #20G15 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:17B40 #msc:17B67 #msc:20G15

paper · pdf · doi:10.48550/arxiv.math/0602247

20 pages, contains some corrections and additions

openalex publication_date 2006/02/11 · arxiv created 2007/04/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ⊗_k R whenever R is a Noetherian domain with trivial Picard group.

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