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| HAL: hal-00203464, version 1 |
| arXiv: math/0610398 |
| DOI: 10.1007/s00220-007-0351-y |
| Detailed view |  Export this paper |
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| Communications in Mathematical Physics 276, 3 (2007) 691-725 |
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| Weight functions and Drinfeld currents |
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| Benjamin Enriquez 1Sergey Khoroshkin |
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| (2007-12-01) |
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| A universal weight function for a quantum affine algebra is a family of functions with values in a quotient of its Borel subalgebra, satisfying certain coalgebraic properties. In representations of the quantum affine algebra it gives off-shell Bethe vectors and is used in the construction of solutions of the qKZ equations. We construct a universal weight function for each untwisted quantum affine algebra, using projections onto the intersection of Borel subalgebras of different types, and study its functional properties. |
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| 1: | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I |
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| 2: | Laboratory of Theoretical Physics JINR |
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Joint Institute of Nuclear Research |
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| Subject | : | Mathematics/Quantum Algebra Mathematics/Mathematical Physics Physics/Mathematical Physics Nonlinear Sciences/Exactly Solvable and Integrable Systems |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/math/0610398 |
| hal-00203464, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00203464 | |
| oai:hal.archives-ouvertes.fr:hal-00203464 | |
| From: Benjamin Enriquez | |
| Submitted on: Thursday, 10 January 2008 11:20:20 | |
| Updated on: Thursday, 10 January 2008 11:20:20 | |
