Laplacian spectrum for the nilpotent Kac-Moody Lie algebras
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Laplacian spectrum for the nilpotent Kac-Moody Lie algebras

  • Author(s): Fuchs, Dmitry
  • Wilmarth, Constance
  • et al.

Published Web Location

https://arxiv.org/pdf/0808.0890.pdf
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Abstract

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.

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