Weight functions and Drinfeld currents
Quantum Algebra
2007-05-23 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.math/0610398,
title = {Weight functions and Drinfeld currents},
author = {Benjamin Enriquez and Sergey Khoroshkin and Stanislav Pakuliak},
journal= {arXiv preprint arXiv:math/0610398},
year = {2007}
}
Comments
36 pages, 1 figure, references to the related papers added