5
$\begingroup$

A paper by M.L. Whippman in Rep. Math. Phys. 5 (1974), 81, mentions at the bottom of the second page ''the possible occurrence of non-unitary representations that arise when reducing a direct product of representations of a non-compact group''. I'd like to see a simple example of this situation. The context is unitary representations, but it seems to me that the direct product of unitary representations cannot lead to this.

$\endgroup$
2
  • $\begingroup$ What is a direct product of unitary representations? $\endgroup$ Jun 1, 2016 at 13:43
  • $\begingroup$ @MikaeldelaSalle: The canonical representation on the tensor product of the two representation spaces. $\endgroup$ Jun 1, 2016 at 15:39

0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.