Timeline for Why are characters so well-behaved?
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Jun 29, 2011 at 19:25 | comment | added | Pierre | The representation ring as an abelian group is $\mathbb{Z}^r$, where $r$ is the number of conjugacy classes; I don't see how it could be isomorphic to $C^r$ where $C$ is a field. And btw tensoring $R(G)$ with a field loses a lot of information. | |
Oct 27, 2009 at 14:52 | history | answered | David E Speyer | CC BY-SA 2.5 |