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Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8

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arxiv 1911.06575 v2 pith:OULP4TKM submitted 2019-11-15 math.RA hep-thmath-phmath.MP

Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8

classification math.RA hep-thmath-phmath.MP
keywords algebrascomplexembeddingsformsmaximalrankrealreductive
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We give tables of noncompact real forms of maximal reductive subalgebras of complex simple Lie algebras of rank up to 8. These were obtained by computational methods that we briefly describe. We also discuss applications in theoretical physics of these embeddings.

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