Deformations of some Color Lie Superalgebras

Abstract

In this work infinitesimal deformations of the model filiform ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$-color Lie superalgebra have been studied. All the filiform ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$-color Lie superalgebras can be obtained by means of infinitesimal deformations, hence the importance of these. Thus, in particular, we give a family of filiform ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$-color Lie superalgebras via linearly integrable deformations.

arXiv commentThis paper has been withdrawn by the author due to some errors

References in corpus (1)

• N-Wave Equations with Orthogonal Algebras: Z_2 and Z_2 \times Z_2 Reductions and Soliton Solutions

Cited by in corpus (1)

• Filiform Z2xZ2-color Lie superalgebras