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arxiv: 1310.0172 · v1 · pith:5FBLC724new · submitted 2013-10-01 · 🧮 math.RA

Constructing semisimple subalgebras of real semisimple Lie algebras

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.

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