Infinitesimal deformations of the model ℤ₃-filiform Lie algebra

2013/01/17 by Rosa Navarro, Navarro, Rosa
Mathematics · #17B30 #17B56 #17B70 #17B75 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17B30 #msc:17B56 #msc:17B70 #msc:17B75

paper · pdf · doi:10.48550/arxiv.1301.4047

arXiv admin note: substantial text overlap with arXiv:1202.5466

arxiv created 2013/01/17 · arxiv updated 2013/01/18

Abstract

In this work it is considered the vector space composed by the infinitesimal deformations of the model ℤ₃-filiform Lie algebra L^n,m,p. By using these deformations all the ℤ₃-filiform Lie algebras can be obtained, hence the importance of these deformations. The results obtained in this work together to those obtained in [Integrable deformations of nilpotent color Lie superalgebras, J. Geom. Phys. 61(2011)1797-1808] and [Corrigendum to Integrable deformations of nilpotent color Lie superalgebras, J. Geom. Phys. 62(2012)1571], leads to compute the total dimension of the mentioned space of deformations.

Citations

• Deformations of some Color Lie Superalgebras

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