Talk:Weight module

question
You mean there are modules which aren't direct sums of weight spaces? — Preceding unsigned comment added by 128.175.87.107 (talk) 17:38, January 21, 2007
 * Yes, for example the universal enveloping algebra $$U(\mathfrak{g})$$ itself. This module is not simple, but it's not difficult also to come up with simple modules that have no weight subspaces. Arcfrk 19:36, 24 March 2007 (UTC)