$k$-Schur functions and affine Schubert calculus
Combinatorics
2017-03-01 v2 Algebraic Geometry
Abstract
This book is an exposition of the current state of research of affine Schubert calculus and -Schur functions. This text is based on a series of lectures given at a workshop titled "Affine Schubert Calculus" that took place in July 2010 at the Fields Institute in Toronto, Ontario. The story of this research is told in three parts: 1. Primer on -Schur Functions 2. Stanley symmetric functions and Peterson algebras 3. Affine Schubert calculus
Cite
@article{arxiv.1301.3569,
title = {$k$-Schur functions and affine Schubert calculus},
author = {Thomas Lam and Luc Lapointe and Jennifer Morse and Anne Schilling and Mark Shimozono and Mike Zabrocki},
journal= {arXiv preprint arXiv:1301.3569},
year = {2017}
}
Comments
213 pages; conference website: http://www.fields.utoronto.ca/programs/scientific/10-11/schubert/, updates and corrections since v1. This material is based upon work supported by the National Science Foundation under Grant No. DMS-0652641