Lie algebras MOC

Simple Lie algebra

A Lie algebra is said to be simple iff it is non-abelian and it has no nontrivial Lie algebra ideal (equivalently the adjoint Lie algebra representation is irreducible).1 #m/def/lie

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

Footnotes

  1. 1972. Introduction to Lie Algebras and Representation Theory, §2.1, p. 6 ↩