Filiform Z2xZ2-color Lie superalgebras

Abstract

We continue the study of the filiform Z2xZ2-color Lie superalgebras. All of them can be obtained by using infinitesimal deformations, i.e. cocycles. In this work we give the total dimension of such cocycles (for any dimensions n, m, p and t of the Z2xZ2-color Lie superalgebras). Also, we give a basis of such cocycles in some generic and concrete cases.

arXiv commentThis paper has been withdrawn by the author due to some errors

References in corpus (2)

• N-Wave Equations with Orthogonal Algebras: Z_2 and Z_2 \times Z_2 Reductions and Soliton Solutions
• Deformations of some Color Lie Superalgebras