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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Macdonald identities and Euclidean Lie algebras


Author: R. V. Moody
Journal: Proc. Amer. Math. Soc. 48 (1975), 43-52
MSC: Primary 17B65; Secondary 10A20
MathSciNet review: 0442048
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0442048-2
PII: S 0002-9939(1975)0442048-2
Article copyright: © Copyright 1975 American Mathematical Society