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Start Over Author "Ghanam, Ryad A." Journal arabian journal of mathematics

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1. Minimal representations of Lie algebras with non-trivial Levi decomposition.

Author

Ghanam, Ryad, Lamichhane, Manoj, and Thompson, Gerard

Subjects
*LIE algebras, *EXCEPTIONAL Lie algebras, *CHEMICAL decomposition, *DIFFERENTIAL invariants, *INVARIANT manifolds
Abstract

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

Published
2017
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