Lie algebras MOC

Triangular Lie algebra

Let be a Lie algebra over . A triangular decomposition of is a triple of subalgebras such that

where is abelian and .¹ #m/def/lie A Lie algebra with such a decomposition is called triangular. This may be viewed as a generalization of a Heisenberg algebra.

Properties

• Triangular module
• Contravariant form on a triangular module

Examples

#state/tidy | #lang/en | #SemBr