A polytope combinatorics for semisimple groups

Simple item page
dc.creatorAnderson, Jared E.
dc.date2001-10-19
dc.date.accessioned2026-07-07T04:43:58Z
dc.date.available2026-07-07T04:43:58Z
dc.descriptionMirkovic and Vilonen discovered a canonical basis of algebraic cycles for the intersection homology of (the closures of the strata of) the loop Grassmannian. The moment map images of these varieties are a collection of polytopes, and they may be used to compute weight multiplicities and tensor product multiplicities for representations of a semisimple group. The polytopes are explicitly described for a few low rank groups.
dc.description17 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0110225
dc.identifierhttp://arxiv.org/abs/math/0110225
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62455
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.titleA polytope combinatorics for semisimple groups
dc.typetext

Files

Collections

arXiv