Stanley symmetric functions and Peterson algebras

Abstract

These are (mostly) expository notes for lectures on affine Stanley symmetric functions given at the Fields Institute in 2010. We focus on the algebraic and combinatorial parts of the theory. The notes contain a number of exercises and open problems.

29 pages

References in corpus (2)

• Positroid varieties I: juggling and geometry
• The Murnaghan-Nakayama rule for k-Schur functions