On deformations of the filiform Lie superalgebra $L_{n,m}$

Details On deformations of the filiform Lie superalgebra $L_{n,m}$ On deformations of the filiform Lie superalgebra $L_{n,m}$

2001-05-07

arxiv.org/abs/math/0105048v1

Mathematics

Rings and Algebras

13 pages

Scientific paper

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
$Z_0^2(L_{n,m},L_{n,m})$ is established.

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