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Homotopical aspects of lie algebras

Ellis, Graham J.
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Publication Date
1993-06-01
Keywords
homology, modules
Type
Article
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Citation
Ellis, Graham J. (1993). Homotopical aspects of lie algebras. Journal of the Australian Mathematical Society 54 , 393-419
Abstract
The Hurewicz theorem, Mayer-Vietoris sequence, and Whitehead's certain exact sequence are proved for simplicial Lie algebras. These results are applied, using crossed module techniques, to obtain information on the low dimensional homology of a Lie algebra, and information on aspherical presentations of Lie algebras.
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Publisher
Cambridge University Press (CUP)
Publisher DOI
10.1017/s1446788700031852
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
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Externally hosted open access publications with University of Galway authors (1)