Branching problems ask how an irreducible representation of a group decomposes when restricted to a subgroup.Following an observation of bad features and analytic difficulties of branching problems with respect to non-compact subgroups in the general setting, I will formalise a nice framework for the restriction of unitary representations, which leads us to a simpler and detailed study on branching problems.
Applications to global analysis will be briefly mentioned.
© Toshiyuki Kobayashi