Proof of the combinatorial Kirillov-Reshetikhin conjecture

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dc.creatorDi Francesco, P.
dc.creatorKedem, R.
dc.date2007-10-24
dc.date2008-03-02
dc.date.accessioned2026-07-07T09:23:54Z
dc.date.available2026-07-07T09:23:54Z
dc.descriptionIn this paper we give a direct proof of the equality of certain generating function associated with tensor product multiplicities of Kirillov-Reshetikhin modules for each simple Lie algebra g. Together with the theorems of Nakajima and Hernandez, this gives the proof of the combinatorial version of the Kirillov-Reshetikhin conjecture, which gives tensor product multiplicities in terms of restricted fermionic summations.
dc.description36 pages. Corrected version for publication
dc.identifierhttps://arxiv.org/abs/0710.4415
dc.identifierhttp://arxiv.org/abs/0710.4415
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155904
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject17B80
dc.titleProof of the combinatorial Kirillov-Reshetikhin conjecture
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