Lie Groups and Representation Theory

Seminar information archive ~04/26Next seminarFuture seminars 04/27~

Date, time & place Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.)

2021/11/23

17:00-18:00   Room #on line (Graduate School of Math. Sci. Bldg.)
Yuichiro Tanaka (The University of Tokyo)
A Cartan decomposition for a reductive real spherical subgroup
(Japanese)
[ Abstract ]
A closed subgroup H of a real reductive Lie group G is real spherical if a minimal parabolic subgroup of G has an open orbit on G/H.
In this talk I would like to show a proof of a Cartan decomposition G=KAH when H is reductive.
This is a conjecture of T. Kobayashi, introduced in the 3rd Number Theory Summer School in 1995.