Asymptotic cone of semisimple orbits for symmetric pairs
Representation Theory
2012-04-06 v1 Algebraic Geometry
Abstract
Let G be a reductive algebraic group over the complex field and O_h be a closed adjoint orbit through a semisimple element h. By a result of Borho and Kraft (1979), it is known that the asymptotic cone of the orbit O_h is the closure of a Richardson nilpotent orbit corresponding to a parabolic subgroup whose Levi component is the centralizer Z_G(h) in G. In this paper, we prove an analogue on a semisimple orbit for a symmetric pair (G, K).
Keywords
Cite
@article{arxiv.1012.3219,
title = {Asymptotic cone of semisimple orbits for symmetric pairs},
author = {Kyo Nishiyama},
journal= {arXiv preprint arXiv:1012.3219},
year = {2012}
}
Comments
14 pages