Journal of Generalized Lie Theory and Applications

Representations of Six-dimensional Mubarakazyanov Lie algebras

G Thompson, C Hettiarachchi, N Jones, and A Shabanskaya

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A corrected list of the Mubarakzyanov algebras, that is, six-dimensional indecomposable solvable Lie algebras for which the nilradical is five-dimensional, is presented. For each class of algebra a matrix representation and a system of vector fields representation is given. As a consequence it follows that the dimension of the minimal matrix representation of any six-dimensional Lie algebra is at most six.

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J. Gen. Lie Theory Appl., Volume 8, Number 1 (2014), 10 pages.

First available in Project Euclid: 23 July 2015

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Lie algebra Lie group Mubarakzyanov algebra Minimal matrix representation Vector field representation MSC Classification: 17B99


Thompson, G; Hettiarachchi, C; Jones, N; Shabanskaya, A. Representations of Six-dimensional Mubarakazyanov Lie algebras. J. Gen. Lie Theory Appl. 8 (2014), no. 1, 10 pages. doi:10.4172/1736-4337.1000211.

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