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Free Lie algebras as modules for symmetric groups

Bryant, R M; Kovacs, L; Stohr, Ralph

Description

Let r be a positive integer, double-struck F sign a field of odd prime characteristic p, and L the free Lie algebra of rank r over double-struck F sign. Consider L a module for the symmetric group G-fraktur signr of all permutations of a free generating set of L. The homogeneous components Ln of L are finite dimensional submodules, and L is their direct sum. For p ≤ r < 2p, the main results of this paper identify the non-projective indecomposable direct summands of the Ln as Specht modules or...[Show more]

CollectionsANU Research Publications
Date published: 1999
Type: Journal article
URI: http://hdl.handle.net/1885/94908
Source: Journal of the Australian Mathematical Society

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