Laplacian spectrum for the nilpotent Kac-Moody Lie algebras

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We prove that the maximal nilpotent subalgebra of a Kac-Moody Lie algebra has an (essentially unique) Euclidean metric with respect to which the Laplace operator in the chain complex is scalar on each component of a given degree. Moreover, both the Lie algebra structure and the metric are uniquely determined by this property.
11 pages

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Rings and Algebras, 17B67; 17B56

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http://salesiana.dossiersoluciones.com/handle/123456789/166546

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.0890
 http://arxiv.org/abs/0808.0890

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arXiv