The cartan-weyl basis for the yangian doubleDY (sl 3)

Abstract

We give a new realization of Y (sl 3 ) via Cartan-Weyl elements. An algebraic description of Yangian Double DY (sl 3 ), explicit comultiplication formulas and universal R-matrix are obtained in these terms. *

Yangians and their applications

“…These formulas were employed in [70] in the construction of the double of the Yangian. These results were generalized to the Yangian Y(sl 3 ) by Soloviev [154], and to Y(sl n ) by Iohara [59]. 2.10.…”