Locally finite admissible simple Lie algebras

Details Locally finite admissible simple Lie algebras Locally finite admissible simple Lie algebras

2009-11-27

arxiv.org/abs/0911.5064v4

Mathematics

Quantum Algebra

Scientific paper

We introduce a class of Lie algebras called admissible Lie algebras. We show
that a locally finite admissible simple Lie algebra contains a nonzero maximal
toral subalgebra and the corresponding root system is an irreducible locally
finite root system.

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