Lie algebra automorphism

Inner Lie algebra automorphism

An inner automorphism of a Lie algebra is given by , where is the adjoint representation for some . #m/def/lie As the Exponential of a derivation on a Lie algebra it is an automorphism.1 The set of all inner automorphisms forms a normal subgroup of .

Proof of normal subgroup

#missing/proof

#state/develop | #lang/en | #SemBr

Footnotes

  1. 1972. Introduction to Lie Algebras and Representation Theory, §2.3, pp. 8–9 ↩