Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1395
8
1
gregorian
2016
11
1
11
2
online
1
fulltext
en
Representations of Double Coset Lie Hypergroups
عمومى
General
پژوهشي
Research paper
<p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">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.</p>
<p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">We characterize smooth (analytic) vectors of these lifted representations.</p>
Hypergroup, Lie group, Lie hypergroup, Double coset Lie hypergroup, Representations, Smooth (analytic) vectors
87
96
http://ijmsi.ir/browse.php?a_code=A-10-606-1&slc_lang=en&sid=1
M.
Toomanian
megerdich.toomanian@kiau.ac.ir
10031947532846003957
10031947532846003957
Yes
Islamic Azad University, Karaj-Branch
M.
Amini
mamini@modares.ac.ir
10031947532846003958
10031947532846003958
No
Tarbiat Modares University
A.
Heydari
aheydari@modares.ac.ir
10031947532846003959
10031947532846003959
No
Tarbiat Modares University