nLab
Hadamard's formula

Sometimes called Hadamard lemma, however, in nnLab, Hadamard lemma is another result of Jacques Hadamard, in analysis.

Geometrical motivation

Hadamard’s formula relates the Ad action of a Lie group on its tangent Lie algebra, with the ad action of the Lie algebra on itself.

Statement

e XYe −X=e adX(Y) e^X Y e^{-X} = e^{ad X} (Y)

References

Last revised on June 13, 2013 at 04:34:19. See the history of this page for a list of all contributions to it.