2006/10/12 by Benjamin Enriquez, Enriquez, Benjamin, Sergey Khoroshkin +3 · 2 citations
Mathematics · Physics and Astronomy · #16W30 #17B37 #81R50 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA #msc:16W30 #msc:17B37 #msc:81R50 #nlin.SI
paper · pdf · doi:10.48550/arxiv.math/0610398
36 pages, 1 figure, references to the related papers added
arxiv created 2006/10/18 · arxiv updated 2009/12/01
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.