On the universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)

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dc.creatorOskin, A.
dc.creatorPakuliak, S.
dc.creatorSilantyev, A.
dc.date2007-11-18
dc.date2007-11-21
dc.date.accessioned2026-07-07T08:43:54Z
dc.date.available2026-07-07T08:43:54Z
dc.descriptionWe continue investigation of the universal weight function for the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_N)$ started in arXiv:math/0610517 and arXiv:0711.2819. We obtain two recurrence relations for the universal weight function applying the method of projections developed in arXiv:math/0610398. On the level of the evaluation representation of $U_q(\hat{\mathfrak{gl}}_N)$ we reproduce both recurrence relations for the off-shell Bethe vectors calculated in arXiv:math/0702277 using combinatorial methods.
dc.description35 pages, typos corrected
dc.identifierhttps://arxiv.org/abs/0711.2821
dc.identifierhttp://arxiv.org/abs/0711.2821
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142480
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject17B37; 16W30; 81R50; 82B23
dc.titleOn the universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
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