The Casimir Invariants of Universal Lie algebra extensions via commutative structures

Details The Casimir Invariants of Universal Lie algebra extensions via commutative structures The Casimir Invariants of Universal Lie algebra extensions via commutative structures

2001-08-23

arxiv.org/abs/math/0108161v1

Mathematics

Dynamical Systems

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Scientific paper

We consider the Casimir Invariants related to some a special kind of
Lie-algebra extensions, called universal extensions. We show that these
invariants can be studied using the equivalence between the universal
extensions and the commutative algebras and consider in detail the so called
coextension structures, arising in the calculation of the Casimir functions.

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