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Apr 23, 2015 at 8:57 comment added moppio89 Addendum: I'm actually working with the Heisenberg group which is not compact.
Apr 23, 2015 at 8:55 comment added moppio89 Yes, I should have been more precise in my question. With unitary real/complex representation I mean exactly what @QiaochuYuan wrote in the comment: $<\rho(g)u|\rho(g)v>=<u,v>$.
Apr 23, 2015 at 3:59 comment added Qiaochu Yuan I think "unitary real representation" just means it's a representation on a real Hilbert space preserving the real inner product (so it means "orthogonal representation").
Apr 23, 2015 at 3:38 history edited Henrik Winther CC BY-SA 3.0
added 10 characters in body
Apr 22, 2015 at 13:17 history answered Henrik Winther CC BY-SA 3.0