Special isogenies and tensor product multiplicities

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We show that any bijection between two root systems that preserves angles (but not necessarily lengths) gives rise to inequalities relating tensor product multiplicities for the corresponding complex semisimple Lie groups (or Lie algebras). We explain the inequalities in two ways: combinatorially, using Littelmann's Path Model, and geometrically, using isogenies between algebaric groups defined over an algebraically closed field of positive characteristic.
11 pages

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Representation Theory, Algebraic Geometry, 22E46, 14L30

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http://salesiana.dossiersoluciones.com/handle/123456789/131834

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.2324
 http://arxiv.org/abs/0706.2324

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arXiv