Talk:Real representation

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By the way, should that be k = 0, 1, 2, ... ?

Charles Matthews 15:28, 24 Jun 2004 (UTC)

While it is true a real reps can be constructed from complex reps, shouldn't an article on real reps treat them intrinsically as reps over R without mentioning C? Phys 21:46, 6 Aug 2004 (UTC)

I agree about real reps being defined over R rather than C. I will edit the page accordingly if no-one objects. What it says at the moment is ambiguous (one that also allows ... sounds like two conditions). JAMnx 13:29, 18 March 2007 (UTC)

[edit] nth Frobenius-Schur indicator

There's a typo in the formula for the n-th indicator. It should have \rho(g^n), not \rho(g)^n, right? (Tr(A^n) != (Tr(A))^n) And what is a self-intertwiner?

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Sorry. Of course \rho(g^n) = \rho(g)^n, since \rho is a group homomorphism. Numenorean7 13:18, 25 April 2007 (UTC)

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Also, the Frobenius-Schur indicator is originally given using the Harr measure, but then these later formulas are specialized to finite groups.

Perhaps after the indicator is first introduced the sum for the special case of a finite group should be given.

Also, I would REALLY like a reference to a book. Is there a "standard" reference for real representation theory?

BTW, I'm a wiki-newby so I don't really know how this works. 134.114.148.104 23:58, 23 April 2007 (UTC)

Feit, Characters of Finite Groups, p.21, Dornhoff, Group Representation Theory A, p.191, have the basic result. Charles Matthews 15:16, 25 April 2007 (UTC)