Bourbaki

Exercise 9, § 2

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

Spectral Theories, V, p. 488

Suppose that G is a perfect semisimple real Lie group without compact factors. There exists no non-trivial finite-dimensional unitary representation of G.

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Machine translation of the English, by gpt-5.4. Not checked by a person.