Why would multiplicities be log-concave ?

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dc.creatorOkounkov, Andrei
dc.date2000-02-11
dc.date.accessioned2026-07-07T04:33:49Z
dc.date.available2026-07-07T04:33:49Z
dc.descriptionIt is a basic property of the entropy in statistical physics that is concave as a function of energy. The analog of this in representation theory would be the concavity of the logarithm of the multiplicity of an irreducible representation as a function of its highest weight. We discuss various situations where such concavity can be established or reasonably conjectured and consider some implications of this concavity. These are rather informal notes based on a number of talks I gave on the subject, in particular, at the 1997 International Press lectures at UC Irvine.
dc.description22 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0002085
dc.identifierhttp://arxiv.org/abs/math/0002085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58669
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.titleWhy would multiplicities be log-concave ?
dc.typetext

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