Minimal faithful representations of reductive Lie algebras

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We prove an explicit formula for the invariant $μ(\Lg)$ for finite-dimensional semisimple, and reductive Lie algebras $\Lg$ over $\C$. Here $μ(\Lg)$ is the minimal dimension of a faithful linear representation of $\Lg$. The result can be used to study Dynkin's classification of maximal reductive subalgebras of semisimple Lie algebras.

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Representation Theory, 17B20;17B10

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http://salesiana.dossiersoluciones.com/handle/123456789/126184

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703657
 http://arxiv.org/abs/math/0703657

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arXiv