Remarks on Fermionic Formula

dc.creatorHatayama, Goro
dc.creatorKuniba, Atsuo
dc.creatorOkado, Masato
dc.creatorTakagi, Taichiro
dc.creatorYamada, Yasuhiko
dc.date1998-12-03
dc.date1999-07-30
dc.date.accessioned2026-07-07T05:27:06Z
dc.date.available2026-07-07T05:27:06Z
dc.descriptionFermionic formulae originate in the Bethe ansatz in solvable lattice models. They are specific expressions of some q-polynomials as sums of products of q-binomial coefficients. We consider the fermionic formulae associated with general non-twisted quantum affine algebra U_q(X^{(1)}_n) and discuss several aspects related to representation theories and combinatorics. They include crystal base theory, one dimensional sums, spinon character formulae, Q-system and combinatorial completeness of the string hypothesis for arbitrary X_n.
dc.description49 pages, no figures, LaTeX2e using package amsmath
dc.identifierhttps://arxiv.org/abs/math/9812022
dc.identifierhttp://arxiv.org/abs/math/9812022
dc.identifierContemporary Mathematics 248(1999) 243-291
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77798
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subject81R10, 81R50, 82B23 (Primary), 05E15 (Secondary)
dc.titleRemarks on Fermionic Formula
dc.typetext

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