Parabolic sets of roots

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We compare two combinatorial definitions of parabolic sets of roots. We show that these definitions are equivalent for simple finite dimensional Lie algebras, affine Lie algebras, and toroidal Lie algebras. In contrast, these definitions are not always equivalent for simple finite dimensional Lie superalgebras.
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Representation Theory, Rings and Algebras, 17B20; 17B65; 17B67

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http://salesiana.dossiersoluciones.com/handle/123456789/226722

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.0041
 http://arxiv.org/abs/0904.0041

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arXiv