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Laplacian spectrum for the nilpotent Kac–Moody Lie algebras
2010
Pacific Journal of Mathematics
We prove that a maximal nilpotent subalgebra of a Kac-Moody Lie algebra has an (essentially unique) Euclidean metric whose 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.
doi:10.2140/pjm.2010.247.323
fatcat:i3m5ol3vj5eijiy3dtk5jxgeia