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Invariants of solvable rigid Lie algebras up to dimension 8

Rutwig Campoamor-Stursberg
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Abstract

The invariants of all complex solvable rigid Lie algebras up to dimension eight are computed. Moreover we show, for rank one solvable algebras, some criteria to deduce to non-existence of non-trivial invariants or the existence of fundamental sets of invariants formed by rational functions of the Casimir invariants of the associated nilradical.

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Rutwig Campoamor-Stursberg. 2002-06-11. Invariants of solvable rigid Lie algebras up to dimension 8. https://doi.org/10.1088/0305-4470%2F35%2F30%2F307

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