On the module structure of free Lie algebras-Reference-Cited by-同舟云学术

On the module structure of free Lie algebras

Published:1999-10-06 Issue:2 Volume:352 Page:901-934
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bryant R.,Stöhr Ralph

Abstract

We study the free Lie algebra L L over a field of non-zero characteristic p p as a module for the cyclic group of order p p acting on L L by cyclically permuting the elements of a free generating set. Our main result is a complete decomposition of L L as a direct sum of indecomposable modules.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2000-352-02/S0002-9947-99-02369-7/S0002-9947-99-02369-7.pdf

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