Macdonald identities and Euclidean Lie algebras

Moody, R. V.

doi:10.1090/S0002-9939-1975-0442048-2

Macdonald identities and Euclidean Lie algebras
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Proc. Amer. Math. Soc. 48 (1975), 43-52 Request permission

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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Notes on Coxeter groups