Representations of Double Coset Lie Hypergroups

Authors

A. Heydari Tarbiat Modares University

M. Amini Tarbiat Modares University

M. Toomanian Islamic Azad University, Karaj-Branch

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.

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