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Affine Schubert classes, Schur positivity, and combinatorial Hopf algebras

Authors
  • Lam, Thomas
Type
Preprint
Publication Date
Jun 01, 2009
Submission Date
Jun 01, 2009
Identifiers
DOI: 10.1112/blms/bdq110
Source
arXiv
License
Yellow
External links

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.

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