alexa Computing invariants and semi-invariants by means of Frobenius Lie algebras


Journal of Generalized Lie Theory and Applications

Author(s): Alfons I Ooms

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Let be the enveloping algebra of a finite-dimensional Lie algebra over a field k of characteristic zero, its center and its semi-center. A sufficient condition is given in order for to be a polynomial algebra over k. Surprisingly, this condition holds for many Lie algebras, especially among those for which the radical is nilpotent, in which case . In particular, it allows the explicit description of for more than half of all complex, indecomposable nilpotent Lie algebras of dimension at most 7.

This article was published in Journal of Algebra and referenced in Journal of Generalized Lie Theory and Applications

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