J Austral Math Soc Ser A 49 pp354--363, 1990.

Finitely Sorting Lie Algebras

Donald W. Barnes

(Received 16 January 1989)

Abstract

Lie algebras whose finite-dimensional modules into direct sums of modules involving only one type of irreducible are investigated. Some vanishing theorems for the cohomology of some infinite-dimensional Lie algebras are thereby obtained.

1980 AMS Subject Classification (1985 Revision): 17B56, 17B55

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Authors

Donald W. Barnes: Department of Pure Mathematics, University of Sydney, N.S.W. 2006, Australia.

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Last Modified: Wed Feb 19 10:27:52 2003