Semistable locus of a group compactification

Xuhua He, Jason Starr
2011 Representation Theory: An Electronic Journal of the AMS  
In this paper, we consider the diagonal action of a connected semisimple group of adjoint type on its wonderful compactification. We show that the semistable locus is a union of the G-stable pieces and we calculate the geometric quotient.
doi:10.1090/s1088-4165-2011-00404-0 fatcat:p7yx56hy4bfjrhx5lpdfwtpgpy