Talk:Peter-Weyl theorem

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In the paragraph about consequences of the theorem, $\phi(\alpha)\neq e$ doesn 't make sense to me. Perhaps, the author meant $\phi(\alpha)\neq \phi(e)$?

I guess, the author denotes by $e$ the unit of the relevant group (even if different groups coexist in a single expression). Maybe indeed $\phi(\alpha)\neq \phi(e)$ is better.
(And please do not forget to sign your messages with four tildas.) Boris Tsirelson (talk) 17:35, 23 May 2014 (CEST)
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