Talk:Weight (representation theory)

From Wikipedia, the free encyclopedia

Please, could somebody check the information in this page? I'm not sure about the definition of G-integral weight for a Lie group G. How much important is that G is semisimple? Does the definition make reasonable sense for non-semisimple groups as well? Further, in the definition of a weight of a Lie group, is it reasonable to assume that H is a maximal commutative subgroup? Would it not be better to assume a maximal commutative torus (I think for G complex semisimple, it is the same)? Please, fix these subtle issues, if you are an expert! Thank u, Peter

Well, if G is compact one should take H to be a maximal torus (every maximal torus is a maximal abelian subgroup but not vice-versa). I'm not sure what the correct choice is for G noncompact. Maybe a maximal closed, connected abelian subgroup? I'll work on this page if time permits, but I'm not an expert either. -- Fropuff 22:40, 27 September 2006 (UTC)