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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 $\phi(\alpha)\neq \phi(e)$?

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How to Cite This Entry:
Peter-Weyl theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Peter-Weyl_theorem&oldid=32212

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