Let g be a real semisimple Lie algebra with Iwasawa decomposition k+a+n. We show that, except for some explicit exceptional cases, every derivation of the nilpotent subalgebra n that preserves its restricted root space decomposition is of the form ad( W), where W belongs to m+a.
On derivations of subalgebras of real semisimple Lie algebras
CIATTI, PAOLO;
2018
Abstract
Let g be a real semisimple Lie algebra with Iwasawa decomposition k+a+n. We show that, except for some explicit exceptional cases, every derivation of the nilpotent subalgebra n that preserves its restricted root space decomposition is of the form ad( W), where W belongs to m+a.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
On derivations of subalgebras of real semisimple Lie algebras.pdf
accesso aperto
Tipologia:
Preprint (submitted version)
Licenza:
Accesso gratuito
Dimensione
417.48 kB
Formato
Adobe PDF
|
417.48 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
