3
$\begingroup$

Is there an example of $G$, $\rho$ as below?

  • $G$ is a locally compact group.

  • $\rho$ is a continuous representation of $G$ on a Hilbert space $V$. This means that we have a homomorphism from $G$ to the group of bounded linear operators on $V$ with bounded inverse, such that $G \times V \rightarrow V$ is continuous.

  • Schur's lemma fails for $\rho$.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.