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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Kac-Moody Lie algebras, spectral sequences, and the Witt formula


Author: Seok-Jin Kang
Journal: Trans. Amer. Math. Soc. 339 (1993), 463-493
MSC: Primary 17B67
MathSciNet review: 1102889
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Abstract: In this work, we develop a homological theory for the graded Lie algebras, which gives new information on the structure of the Lorentzian Kac-Moody Lie algebras. The technique of the Hochschild-Serre spectral sequences offers a uniform method of studying the higher level root multiplicities and the principally specialized affine characters of Lorentzian Kac-Moody Lie algebras.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1993-1102889-0
PII: S 0002-9947(1993)1102889-0
Article copyright: © Copyright 1993 American Mathematical Society