Contractions and generalized Casimir invariants

Details Contractions and generalized Casimir invariants Contractions and generalized Casimir invariants

2001-11-16

arxiv.org/abs/math/0111185v2

Mathematics

Rings and Algebras

Scientific paper

We prove that if $\frak{g}^{\prime}$ is a contraction of a Lie algebra $\frak{g}$ then the number of functionally independent invariants of $\frak{g}^{\prime}$ is at least that of $\frak{g}$. This allows to determine explicitly the number of invariants of Lie algebras carrying a supplementary structure, such as linear contact or linear forms whose differential is symplectic.

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