Abstract
In the setting of a connected noncompact semisimple Lie group with a finite center, we prove a property of the Iwasawa decomposition, and use it to show that, in Kostant's convexity result [7], the Iwasawa projection puts almost all its weight near a single vertex of the convex hull. As another application, we will revisit the results of Huang–Tam [10,5] on the iteration of group elements under the Cartan and the Iwasawa decompositions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
