Abstract:In this paper we use techniques of geometric quantization to give a geometric interpretation of the Peter-Weyl theorem. We present a novel approach to half-form corrected geometric quantization in a specific type of non-Kähler polarizations and study one important class of examples, namely cotangent bundles of compact semi-simple groups K. Our main results state that this canonically defined polarization occurs in the geodesic boundary of the space of K × K-invariant Kähler polarizations equipped with Mabuchi'… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.