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Metabelian Lie powers of group representations

Part of: Representation theory of groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

R. M. Bryant ,
R. Stöhr  and
R. Zerck
R. M. Bryant
Affiliation:
University of Manchester Institute of Science and Technology, P.O. Box 88, Manchester, M60 1QD, United Kingdom
R. Stöhr
Affiliation:
University of Manchester Institute of Science and Technology, P.O. Box 88, Manchester, M60 1QD, United Kingdom
R. Zerck
Affiliation:
Karl-Weierstrass-Institut für Mathematik, Mohrenstrasse 39, Postfach 1304, O-1086 Berlin, Germany
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Abstract

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Any representation of a group G on a vector space V extends uniquely to a representation of G on the free metabelian Lie algebra on V. In this paper we study such representations and make some group-theoretic applications.

MSC classification

Secondary: 20C15: Ordinary representations and characters 20F40: Associated Lie structures
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 56 , Issue 2 , April 1994 , pp. 145 - 168
Copyright
Copyright © Australian Mathematical Society 1994

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