Volume 11, Issue 2 (11-2016)
IJMSI 2016, 11(2): 87-96 |
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Toomanian M, Amini M, Heydari A. Representations of Double Coset Lie Hypergroups. IJMSI 2016; 11 (2) :87-96
URL: http://ijmsi.ir/article-1-517-en.html
URL: http://ijmsi.ir/article-1-517-en.html
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
Type of Study: Research paper |
Subject:
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