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On the module structure of free L ie algebras |
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| Authors: | R. M. Bryant Ralph Stö hr |
| Affiliation: | Department of Mathematics, UMIST, Manchester M60 1QD, United Kingdom ; Department of Mathematics, UMIST, Manchester M60 1QD, United Kingdom |
| Abstract: | We study the free Lie algebra  over a field of non-zero characteristic  as a module for the cyclic group of order  acting on  by cyclically permuting the elements of a free generating set. Our main result is a complete decomposition of  as a direct sum of indecomposable modules. |
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