Finite Crystals and Paths

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dc.creatorHatayama, Goro
dc.creatorKoga, Yoshiyuki
dc.creatorKuniba, Atsuo
dc.creatorOkado, Masato
dc.creatorTakagi, Taichiro
dc.date1999-01-20
dc.date1999-02-10
dc.date.accessioned2026-07-07T05:27:35Z
dc.date.available2026-07-07T05:27:35Z
dc.descriptionWe consider a category of finite crystals of a quantum affine algebra whose objects are not necessarily perfect, and set of paths, semi-infinite tensor product of an object of this category with a certain boundary condition. It is shown that the set of paths is isomorphic to a direct sum of infinitely many, in general, crystals of integrable highest weight modules. We present examples from C_n^{(1)} and A_{n-1}^{(1)}, in which the direct sum becomes a tensor product as suggested from the Bethe Ansatz.
dc.description15 pages, LaTeX2e, submitted to the proceedings of the RIMS98 program "Combinatorial Methods in Representation Theory"
dc.identifierhttps://arxiv.org/abs/math/9901082
dc.identifierhttp://arxiv.org/abs/math/9901082
dc.identifierAdvanced Studies in Pure Mathematics 28(2000) 113-132
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77975
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject81R10
dc.titleFinite Crystals and Paths
dc.typetext

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