J Austral Math Soc Ser A 54 pp393--419, 1993.

Homotopical Aspects of Lie Algebras

Graham J. Ellis

(Received 5 July 1991)

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 presentation of Lie algebras.

1991 AMS Subject Classification: 18G55

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Authors

Graham J. Ellis
University College Galway, National University of Ireland, Galway, Ireland.

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