Automorphisms and twisted loop algebras of finite dimensional simple Lie superalgebras

2004/07/09 by Dimitar Grantcharov, Grantcharov, Dimitar, Arturo Pianzola +1
Mathematics · #17B40 #17B67 #20G15 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #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/0407154

Contains some minor corrections and updated references. To appear in IMRN

openalex publication_date 2004/07/09 · arxiv created 2004/09/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 different isomorphism classes of the corresponding twisted loop superalgebras.

Related

• Automorphisms of toroidal Lie superalgebras
• A block decomposition of finite-dimensional representations of twisted loop algebras
• Locally finite basic classical simple Lie superalgebras
• Invariants of twisted current algebras and related Poisson-commutative subalgebras
• Finite-dimensional irreducible representations of twisted loop algebras of the second kind