Minimal faithful representations of reductive Lie algebras
نویسندگان
چکیده
منابع مشابه
Minimal Faithful Representations of Reductive Lie Algebras
We prove an explicit formula for the invariant μ(g) for finite-dimensional semisimple, and reductive Lie algebras g over C. Here μ(g) is the minimal dimension of a faithful linear representation of g. The result can be used to study Dynkin’s classification of maximal reductive subalgebras of semisimple Lie algebras.
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2007
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-007-2378-x