Affine Schubert classes, Schur positivity, and combinatorial Hopf algebras
Algebraic Geometry
2014-02-26 v1 Combinatorics
Abstract
We suggest the point of view that the Schubert classes of the affine Grassmannian of a simple algebraic group should be considered as Schur-positive symmetric functions. In particular, we give a geometric explanation of the Schur positivity of k-Schur functions (at t = 1). We also put this in the context of the theory of combinatorial Hopf algebras.
Cite
@article{arxiv.0906.0385,
title = {Affine Schubert classes, Schur positivity, and combinatorial Hopf algebras},
author = {Thomas Lam},
journal= {arXiv preprint arXiv:0906.0385},
year = {2014}
}
Comments
7 pages