Lie Superautomorphisms on Associative Algebras, II

2012/04/23 by Yuri Bahturin, Y. Bahturin, Bahturin, Y. +6
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.1204.5214

19 pages, accepted for publication in Algebr. Represent. Theory

arxiv created 2012/04/23 · openalex publication_date 2012/04/23 · arxiv updated 2012/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Lie superautomorphisms of prime associative superalgebras are considered. A definitive result is obtained for central simple superalgebras: their Lie superautomorphisms are of standard forms, except when the dimension of the superalgebra in question is 2 or 4.

Related

• An example of simple Lie superalgebra with several invariant bilinear forms
• Superalgebras with Homogeneous structures of Lie type
• Universal central extensions of \mathfraksl(m, n, A) of small rank over associative superalgebras
• On the Lie structure of a prime associative superalgebra
• J-ternary algebras, structurable algebras, and Lie superalgebras