Notes on Schubert classes of a loop group

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dc.creatorMagyar, Peter
dc.date2007-05-25
dc.date.accessioned2026-07-07T08:03:16Z
dc.date.available2026-07-07T08:03:16Z
dc.descriptionIn these notes, we survey the homology of the loop group Omega(K) of a compact group K, also known as the affine Grassmannian of a complex loop group. Using the Bott picture of H_*(Omega(K)), the homology algebra or Pontryagin ring, we obtain two new results: A. Factorization of affine Schubert homology classes. B. Definition of affine Schubert polynomials representing the affine Schubert homology classes in all types, in terms similar to ordinary Schubert polynomials.
dc.identifierhttps://arxiv.org/abs/0705.3826
dc.identifierhttp://arxiv.org/abs/0705.3826
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129515
dc.subjectRepresentation Theory
dc.subjectK-Theory and Homology
dc.titleNotes on Schubert classes of a loop group
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