Lie Groups and Representation Theory

Seminar information archive ~02/25Next seminarFuture seminars 02/26~

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


16:30-18:00   Room #126 (Graduate School of Math. Sci. Bldg.)
笹木集夢 (早稲田大学)
Visible actions on multiplicity-free spaces
[ Abstract ]
The holomorphic action of a Lie group G on a complex manifold D is called strongly visible if there exist a real submanifold S such that D':=G・S is open in D and an anti-holomorphic diffeomorphism σ which is an identity map on S and preserves each G-orbit in D'.
In this talk, we treat the case where D is a multiplicity-free space V of a connected complex reductive Lie group G(C), and show that the action of a compact real form of G(C) on V is strongly visible.
[ Reference URL ]