Bourbaki

Corollary 2

Tag 03E3, permanent. Cite it as [Bourbaki, Tag 03E3].

Théories spectrales, chapter V, § 4. Représentations des groupes compacts

Let π1\pi_1 and π2\pi_2 be non-isomorphic irreducible representations of G. The (π‾1⊠π2)(\overline{\pi}_1\boxtimes \pi_2)-isotypical component of ϱG\boldsymbol{\varrho }_G is zero.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

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Cites

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Machine translation of the English, by gpt-5.4, against glossary version 34. Not checked by a person.