On
SU(p, q)-orbits
in the
complex
flag variety
Mr.
Victor Mouquin
Ecole Polytechnique
Fédérale de Lausanne,
Abstract
Assume that G0 is a real semi-simple Lie
group with a complexification G. The orbits of G0
in the (full) flag variety of G are
important in the representation theory of G0.
In this talk, we will concentrate on the case when G0 = SU(p, q) and G = SL(n, C).
We will explain some known results on a parameter set and the number of G0-orbits. We will give
defining (in)equalities for the G0-orbits and explain some results on
intersections of G0-orbits
with Bruhat cells.
Date: |
January 30, 2008 (Wednesday) |
Time: |
2:00 – 3:00pm |
Place: |
Room 517, Meng Wah Complex, HKU |
|
All are
welcome |
|