2012/06/24 by Minh Thanh Duong, Duong, Minh Thanh, Rosane Ushirobira +1
Mathematics · Physics and Astronomy · #15A63 #17B05 #17B30 #17B70 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP #msc:15A63 #msc:17B05 #msc:17B30 #msc:17B70
paper · pdf · doi:10.48550/arxiv.1206.5504
50 pages
arxiv created 2012/06/24 · openalex publication_date 2012/06/24 · arxiv updated 2012/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we give a generalization of results in \citePU07 and \citeDPU10 by applying the tools of graded Lie algebras to quadratic Lie superalgebras. In this way, we obtain a numerical invariant of quadratic Lie superalgebras and a classification of singular quadratic Lie superalgebras, i.e. those with a nonzero invariant. Finally, we study a class of quadratic Lie superalgebras obtained by the method of generalized double extensions.