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Finitely sorting Lie algebras

Part of: Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  09 April 2009

Donald W. Barnes
Donald W. Barnes
Affiliation:
Department of Pure Mathematics University of SydneyN.S.W. 2006, Australia
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Abstract

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Lie algebras whose finite-dimensional modules decompose 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.

Keywords

Lie algebrascohomology

MSC classification

Secondary: 17B56: Cohomology of Lie (super)algebras 17B55: Homological methods in Lie (super)algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 49 , Issue 3 , December 1990 , pp. 354 - 363
Copyright
Copyright © Australian Mathematical Society 1990

References

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