Subject: question for the topology mailing list From: Lisa Jeffrey Date: Wed, 22 Feb 2006 15:02:56 -0500 (EST) Let G be a compact connected Lie group (I am particularly interested in the case G=SU(2)). Let G act on itself by conjugation. Can anyone tell me the homotopy type of the quotient space G^n/G, or at least its cohomology? I suspect this is well known but I don't know where to look for it. Can anyone supply a reference? Many thanks, Lisa Jeffrey