Real Structures on Nilpotent Orbit Closures

2021/06/08 by Michaël Bulois, Michael Bulois, Bulois, Michael +4
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Advanced Operator Algebra Research

paper · pdf · doi:10.5802/jolt.1254

Abstract

We determine the equivariant real structures on nilpotent orbits and the normalizations of their closures for the adjoint action of a complex semisimple algebraic group on its Lie algebra.

Citations

• Forms of almost homogeneous varieties over perfect fields

Related

• Properties of nilpotent orbit complexification
• Adjoint orbits of real affine Lie algebras
• Complex adjoint orbits in Lie theory and geometry
• Admissible modules and normality of classical nilpotent orbits I
• A characterization of nilpotent orbit closures among symplectic singularities II