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MacDonald Identities and Euclidean Lie Algebras

1975/03/01 by R. V. Moody · 1 citation
Chemistry · Mathematics · #Molecular spectroscopy and chirality #Euclidean geometry #Mathematics #Affine Lie algebra #Affine transformation #Lie algebra #Pure mathematics #Adjoint representation of a Lie algebra #Lie conformal algebra #Algebra over a field #Current algebra #Geometry

paper · doi:10.2307/2040690

openalex publication_date 1975/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The Macdonald identities on affine root systems are placed in the context of Euclidean Lie algebras. This yields a simplified form of the identities, which is used to infer several results on the partition function of the root system of a Euclidean Lie algebra.

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