Vol. 167, No. 2, 1995

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Desingularizations of some unstable orbit closures

Mark Stephen Reeder

Vol. 167 (1995), No. 2, 327–343
Abstract

Let σ be a semisimple automorphism of a connected reductive group G, and let Gσ be the fixed points of σ. We consider the Gσ-orbits on the space of nilpotent elements in an eigenspace of . We give a desingularization of the orbit closures and relate the Gσ-orbits to the G-orbits. Along the way, we describe the fixed points of σ on a flag variety G∕P where P is a σ-stable parabolic subgroup of G.

Mathematical Subject Classification 2000
Primary: 22E46
Milestones
Received: 17 September 1992
Revised: 12 January 1993
Published: 1 February 1995
Authors
Mark Stephen Reeder