On deformations of the filiform Lie superalgebra L_n,m

2001/05/07 by M. Gilg, Gilg, M.
Mathematics · #17B30 #17B56 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:17B30 #msc:17B56

paper · pdf · doi:10.48550/arxiv.math/0105048

13 pages

arxiv created 2001/05/07 · arxiv updated 2009/11/30

Abstract

In this work, we recall that every filiform Lie superalgebra is a deformation of the superalgebra L_n,m. We study the even cocycles which give this nilpotent deformations. A family of independent bilinear maps will help us to describe this cocycles. At the end an evaluation of the dimension of the space Z₀²(L_n,m,L_n,m) is established.

Related

• Filiform Z2xZ2-color Lie superalgebras
• Deformations of some Color Lie Superalgebras
• Infinitesimal deformations of the model ℤ₃-filiform Lie algebra
• A distinguished example of filiform deformation
• On deformations of metric Lie superalgebras