Inner derivations of simple Lie pencils of rank 1

We prove that simple Lie pencils of rank 1 over an algebraically closed field P of characteristic 0 with operators of left multiplication being derivations are of the form of a sandwich algebra M 3 ( U , D ′), where U is the subspace of all skew-symmetric matrices in M 3 ( P ) and D ′ is any subspac...

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Veröffentlicht in:	Russian mathematics 2017-04, Vol.61 (4), p.11-17
1. Verfasser:	Koreshkov, N. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematical analysis Mathematics Mathematics and Statistics Matrix methods Operators (mathematics) Pencils
Online-Zugang:	Volltext
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