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Physics  2010 

On the structure of maximal solvable extensions and of Levi extensions of nilpotent algebras

DOI: 10.1088/1751-8113/43/50/505202

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Abstract:

We establish an improved upper estimate on dimension of any solvable algebra s with its nilradical isomorphic to a given nilpotent Lie algebra n. Next we consider Levi decomposable algebras with a given nilradical n and investigate restrictions on possible Levi factors originating from the structure of characteristic ideals of n. We present a new perspective on Turkowski's classification of Levi decomposable algebras up to dimension 9.

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