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On the module structure of free L ie algebras

Author(s): R. M. Bryant; Ralph Stöhr
Journal: Trans. Amer. Math. Soc. 352 (2000), 901-934.
MSC (1991): Primary 17B01; Secondary 20C20
Posted: October 6, 1999
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Abstract: We study the free Lie algebra $L$ over a field of non-zero characteristic $p$ as a module for the cyclic group of order $p$ acting on $L$ by cyclically permuting the elements of a free generating set. Our main result is a complete decomposition of $L$ as a direct sum of indecomposable modules.

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Additional Information:

R. M. Bryant
Affiliation: Department of Mathematics, UMIST, Manchester M60 1QD, United Kingdom
Email: bryant@umist.ac.uk

Ralph Stöhr
Affiliation: Department of Mathematics, UMIST, Manchester M60 1QD, United Kingdom
Email: r.stohr@umist.ac.uk

DOI: 10.1090/S0002-9947-99-02369-7
PII: S 0002-9947(99)02369-7
Received by editor(s): August 20, 1997
Posted: October 6, 1999
Copyright of article: Copyright 1999, American Mathematical Society

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