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arXiv · 1703.05453

Minimal Representations of Lie Algebras With Non-Trivial Levi Decomposition

Ryad Ghanam·Manoj Lamichhane·Gerard Thompson
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Abstract

We obtain minimal dimension matrix representations for each of the Lie algebras of dimension five, six, seven, and eight obtained by Turkowski that have a non-trivial Levi decomposition. The Key technique involves using subspace associated to a particular representation of semi-simple Lie algebra to help in the construction of the radical in the putative Levi decomposition.

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BibTeXRIS

Ryad Ghanam, Manoj Lamichhane, Gerard Thompson. 2017-03-16. Minimal Representations of Lie Algebras With Non-Trivial Levi Decomposition. https://arxiv.org/abs/1703.05453

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