Constructing semisimple subalgebras of real semisimple Lie algebras

Paolo Faccin; Willem A. de Graaf

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Constructing semisimple subalgebras of real semisimple Lie algebras

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arxiv 1310.0172 v1 pith:5FBLC724 submitted 2013-10-01 math.RA

Constructing semisimple subalgebras of real semisimple Lie algebras

Paolo Faccin , Willem A. de Graaf This is my paper

classification math.RA

keywords semisimplealgebrasconstructingequationsmethodsproblemrealsubalgebras

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We consider the problem of constructing semisimple subalgebras of real (semi-) simple Lie algebras. We develop computational methods that help to deal with this problem. Our methods boil down to solving a set of polynomial equations. In many cases the equations turn out to be sufficiently "pleasant" to be able to solve them. In particular this is the case for S-subalgebras.

Constructing semisimple subalgebras of real semisimple Lie algebras

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