The Torus-Equivariant Cohomology of Nilpotent Orbits

Abstract

We consider aspects of the geometry and topology of nilpotent orbits in finite-dimensional complex simple Lie algebras. In particular, we give the equivariant cohomologies of the regular and minimal nilpotent orbits with respect to the action of a maximal compact torus of the overall group in question.

17 pages. Comments are most welcome. Version 2: A few minor changes were made

Cited by in corpus (1)

• The second cohomology groups of nilpotent orbits in classical Lie algebras