Semisimple decompositions of Lie algebras and prehomogeneous modules

We study {\em disemisimple} Lie algebras, i.e., Lie algebras which can be written as a vector space sum of two semisimple subalgebras. We show that a Lie algebra $\mathfrak{g}$ is disemisimple if and only if its solvable radical coincides with its nilradical and is a prehomogeneous $\mathfrak{s}$-mo...

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Hauptverfasser:	Burde, Dietrich, Moens, Wolfgang Alexander
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Representation Theory Mathematics - Rings and Algebras
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