All representations here are assumed to be differentiable functions of 0. Let G be the circle...

 

Transcribed Image Text:

All representations here are assumed to be differentiable functions of 0. Let G be the circle group e. (a) Let p be a representation of G on a vector space V.Show that there exists a positive definite G -invariant Hermitian form on V. (representations of the circle group) All representations here are assumed to be differentiable functions of 0. Let G be the circle group e. (a) Let p be a representation of G on a vector space V.Show that there exists a positive definite G -invariant Hermitian form on V. (representations of the circle group)