S. Z. Pakuliak, S. M. Khoroshkin, “Weight Function for the Quantum Affine Algebra <nobr>$U_{q}(\widehat{\frak{sl}}_3)$</nobr>”, TMF, 2005, Volume 145, Number 1,Pages <nobr>3

This article is cited in 22 papers

Weight Function for the Quantum Affine Algebra $U_{q}(\widehat{\frak{sl}}_3)$

S. Z. Pakuliak^abc, S. M. Khoroshkin^ab

^a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
^b Max Planck Institute for Mathematics
^c Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Abstract: We give a precise expression for the universal weight function of the quantum affine algebra $U_{q}(\widehat{\frak{sl}}_3)$. The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.

Keywords: quantum affine algebra, current realization, nested Bethe ansatz, weight function, biorthogonal decompositions of Borel current subalgebras, projections on intersections of different Borel subalgebras.

Received: 17.02.2005

DOI: 10.4213/tmf1879