Talk:Unitary representation

From Wikipedia, the free encyclopedia

Mathematics Portal This article is within the scope of WikiProject Mathematics, which collaborates on articles related to mathematics.
Mathematics rating:	Start Class	Mid Priority	Field: Geometry
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Cronholm144 06:17, 21 May 2007 (UTC)

[edit] definition of complete reducibility

by definition, a unitary representation π is a mapping from G to U(H). then, what is an "invariant subspace" under π? or is it meant that π(A) is completely reducible for all A in G? in this case it would make sense to talk about "invariant subspace" under π(A).

An 'invariant subspace' for the action of G is a subspace invariant under π(g) for all g in G. Algebraist 22:04, 11 February 2008 (UTC)

[edit] "See also Unitary representation of a real Lie algebra"

is such a letdown! 131.111.55.75 (talk) 00:46, 8 May 2008 (UTC)

But going around in circles is such fun!--CSTAR (talk) 02:35, 8 May 2008 (UTC)