1
$\begingroup$

Decompose the regular representation of $C^3$ into irreducible real representations. Since $C^3$ is abelian,thus all its complex irreducible representations must be one dimensional.I guess that its real irreducible representations should consist of some two dimensional subspaces also,but I am unable to do all this rigorously.Thanks for any help.

$\endgroup$

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.