Commit 2024-04-08 23:17 76ab9daf
View on Github →feat(Algebra/Lie): prove that IsKilling transfers by isomorphisms (#12008)
This proves isKilling_of_equiv
, which states that if a Lie algebra is isomorphic to a Killing Lie algebra, then it is Killing too.
This is a step towards the proof that all derivations over a finite dimensional semisimple Lie algebra are inner (see this thread). Indeed, the proof that I have formalized relies on the fact that such a Lie algebra L
is isomorphic to ad(L)
, from which I want to infer that ad(L)
is Killing.