Hives and the fibres of the convolution morphism

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dc.creatorKamnitzer, Joel
dc.date2007-05-11
dc.date2007-08-23
dc.date.accessioned2026-07-07T08:24:51Z
dc.date.available2026-07-07T08:24:51Z
dc.descriptionBy the geometric Satake correspondence, the number of components of certain fibres of the affine Grassmannian convolution morphism equals the tensor product multiplicity for representations of the Langlands dual group. On the other hand, in the case of GL_n, combinatorial objects called hives also count tensor product multiplicities. The purpose of this paper is to give a simple bijection between hives and the components of these fibres. In particular, we give a description of the individual components. We also describe a conjectural generalization involving the octahedron recurrence.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0705.1698
dc.identifierhttp://arxiv.org/abs/0705.1698
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136486
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleHives and the fibres of the convolution morphism
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