Talk:Weight module

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Mathematics rating: Stub Class Low Priority  Field: Algebra

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)