Representations of Double Coset Lie Hypergroups

Author(s):

M. Toomanian , M. Amini , A. Heydari

Abstract:
We study the double cosets of a Lie group by a compact Lie subgroup. We show that a Weil formula holds for double coset Lie hypergroups and show that certain representations of the Lie group lift to representations of the double coset Lie hypergroup.
We characterize smooth (analytic) vectors of these lifted representations.
Keywords:

Hypergroup , Lie group , Lie hypergroup , Double coset Lie hypergroup , Representations , Smooth (analytic) vectors

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:11 Issue: 2, Nov 2016
Pages:
87 to 96
https://www.magiran.com/p1601378