Abstract
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.
Citation
G Thompson. C Hettiarachchi. N Jones. A Shabanskaya. "Representations of Six-dimensional Mubarakazyanov Lie algebras." J. Gen. Lie Theory Appl. 8 (1) 1 - 10, 2014. https://doi.org/10.4172/1736-4337.1000211
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