Weight functions and Drinfeld currents

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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.
36 pages, 1 figure, references to the related papers added

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Quantum Algebra, Mathematical Physics, Exactly Solvable and Integrable Systems, 17B37, 16W30, 81R50

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http://salesiana.dossiersoluciones.com/handle/123456789/117941

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610398
 http://arxiv.org/abs/math/0610398

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arXiv