Laplacian spectrum for the nilpotent Kac-Moody Lie algebras

dc.creatorFuchs, Dmitry
dc.creatorWilmarth, Constance
dc.date2008-08-06
dc.date.accessioned2026-07-07T09:55:04Z
dc.date.available2026-07-07T09:55:04Z
dc.descriptionWe 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0808.0890
dc.identifierhttp://arxiv.org/abs/0808.0890
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166546
dc.subjectRings and Algebras
dc.subject17B67; 17B56
dc.titleLaplacian spectrum for the nilpotent Kac-Moody Lie algebras
dc.typetext

Files

Collections