Title of article :
Representations of Double Coset Lie Hypergroups
Author/Authors :
Toomanian ، M. Department of Mathematics - College of Basic Sciences - Islamic Azad University, Karaj-Branch , Amini ، M. Department of Mathematics - Faculty of Mathematical Sciences - Tarbiat Modares University , Heydari ، A. Department of Mathematics - Faculty of Mathematical Sciences - Tarbiat Modares University
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
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
