Polytope sums and Lie characters

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dc.creatorWalton, M. A.
dc.date2004-05-06
dc.date.accessioned2026-07-07T04:31:10Z
dc.date.available2026-07-07T04:31:10Z
dc.descriptionA new application of polytope theory to Lie theory is presented. Exponential sums of convex lattice polytopes are applied to the characters of irreducible representations of simple Lie algebras. The Brion formula is used to write a polytope expansion of a Lie character, that makes more transparent certain degeneracies of weight-multiplicities beyond those explained by Weyl symmetry.
dc.description13 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0405016
dc.identifierhttp://arxiv.org/abs/math-ph/0405016
dc.identifierpublished in 'Symmetry in Physics - in Memory of Robert T. Sharp', ed. P. Winternitz et al (AMS, 2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57722
dc.subjectMathematical Physics
dc.subject17B10, 52B20 (Primary), 22E46, 13F25 (Secondary)
dc.titlePolytope sums and Lie characters
dc.typetext

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