Laplacian spectrum for the nilpotent Kac-Moody Lie algebras
Skip to main content
eScholarship
Open Access Publications from the University of California

Department of Mathematics

Faculty bannerUC Davis

Laplacian spectrum for the nilpotent Kac-Moody Lie algebras

Published Web Location

https://arxiv.org/pdf/0808.0890.pdf
No data is associated with this publication.
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.

Item not freely available? Link broken?
Report a problem accessing this item