Deformations of some Color Lie Superalgebras

Details Deformations of some Color Lie Superalgebras Deformations of some Color Lie Superalgebras

2012-02-22

arxiv.org/abs/1202.5466v1

Mathematics

Representation Theory

arXiv admin note: text overlap with arXiv:0811.3076

Scientific paper

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.

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