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Homotopical aspects of Lie algebras

Part of: Homological algebra

Published online by Cambridge University Press:  09 April 2009

Graham J. Ellis
Graham J. Ellis
Affiliation:
University College Galway, National University of Ireland, Galway, Ireland
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Abstract

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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.

MSC classification

Secondary: 18G55: Homotopical algebra
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 54 , Issue 3 , June 1993 , pp. 393 - 419
Copyright
Copyright © Australian Mathematical Society 1993

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