2011/01/17 by R. B. Zhang, Zhang, R. B.
Computer Science · Mathematics · Physics and Astronomy · #17B05 #17B10 #17B20 #17B22 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Representation Theory (math.RT) #hep-th #math-ph #math.MP #math.RT #msc:17B05 #msc:17B10 #msc:17B20 #msc:17B22
paper · pdf · doi:10.48550/arxiv.1101.3114
45 pages
arxiv created 2011/01/17 · openalex publication_date 2011/01/17 · arxiv updated 2011/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An analogue of Serre's theorem is established for finite dimensional simple Lie superalgebras, which describes presentations in terms of Chevalley generators and Serre type relations relative to all possible choices of Borel subalgebras. The proof of the theorem is conceptually transparent; it also provides an alternative approach to Serre's theorem for ordinary Lie algebras.