Ask a Question

Prefer a chat interface with context about you and your work?

On involutions of minuscule Kirillov algebras induced by real structures

On involutions of minuscule Kirillov algebras induced by real structures

We study Kirillov algebras attached to minuscule highest weight representations of semisimple Lie algebras. They can be viewed as equivariant cohomology algebras of partial flag varieties. Real structures on the varieties then induce involutions of these algebras. We describe how these involutions act on the spectra of minuscule Kirillov algebras, …