k-Schur Functions and Affine Schubert Calculus

• Main Authors: Lam, Thomas (Author), Lapointe, Luc (Author), Morse, Jennifer (Author), Schilling, Anne (Author), Shimozono, Mark (Author), Zabrocki, Mike (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2014.
• Series: Fields Institute Monographs, 33
• Subjects: Mathematics.; Algebraic geometry.; Algebraic topology.; Combinatorics.; Algebraic Geometry.; Algebraic Topology.

This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern develo...

Table of Contents:

• 1. Introduction
• 2. Primer on k-Schur Functions
• 3. Stanley symmetric functions and Peterson algebras
• 4. Affine Schubert calculus.