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:
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On derivations of subalgebras of real semisimple Lie algebras.pdf
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