Nil-Hecke rings and Schubert calculus
Abstract
The purpose of the present notes is to give a self-contained exposition on the use of the techniques of Nil-Hecke algebras in the localization approach to the equivariant Schubert calculus for cohomology of flag varieties. We also demonstrate how these techniques can be applied to non-crystallographic root systems as well as to study (connective) $K$-theory of flag varieties.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Publication details
- Pages
- 903–966
- Publication date
- 29 May 2026
- Language
- EN
- Document type
- Book chapter