Subject: Question about representations of compact Lie groups. (For the 
list)
From: Tore August Kro <toreak@math.uio.no>
Date: Fri, 18 Mar 2005 13:59:33 +0100 (CET)

Dear all,

Working with equivariant spectra I had to make the following assumption to
prove my result:

Let G be a compact Lie group and N a closed normal subgroup.
Assume that V is a given finite dimensional real N-representation.
Can one find a finite dimensional real G-representation W and an
N-linear embedding V->W, such that the N-fixed points of W equals
the N-fixed points of V?

I do not know if this statement is true or not. So if someone could help
me with a proof, a counterexample or a qualified guess, I would be
grateful.

Tore Kro