Erdmann, Karin; Kovacs, L
Consider a free metabelian Lie algebra M of finite rank r over an infinite field K of prime characteristic p. Given a free generating set, M acquires a grading; its group of graded automorphisms is the general linear group GLr(K), so each homogeneous component Md is a finite dimensional GLr(K)-module. The homogeneous component M1 of degree 1 is the natural module, and the other Md are the metabelian Lie powers of the title.This paper investigates the submodule structure of the Md. In the main...[Show more]
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