Schubert polynomials for the affine Grassmannian

Simple item page
dc.creatorLam, Thomas
dc.date2006-03-06
dc.date2006-03-31
dc.date.accessioned2026-07-07T07:06:34Z
dc.date.available2026-07-07T07:06:34Z
dc.descriptionConfirming a conjecture of Mark Shimozono, we identify polynomial representatives for the Schubert classes of the affine Grassmannian as the k-Schur functions in homology and affine Schur functions in cohomology. Our results rely on Kostant and Kumar's nilHecke ring, work of Peterson on the homology of based loops on a compact group, and earlier work of ours on non-commutative k-Schur functions.
dc.description24 pages. Section 4 rewritten; examples and references added or updated
dc.identifierhttps://arxiv.org/abs/math/0603125
dc.identifierhttp://arxiv.org/abs/math/0603125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110072
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.subject05E05; 14N15
dc.titleSchubert polynomials for the affine Grassmannian
dc.typetext

Files

Collections

arXiv