math/0212370Dec 30, 200222 pages. Contribution to the Proceedings of the Ramanujan International Symposium on Kac-Moody Algebras and Applications, ISKMAA-2002, Jan. 28--31, Chennai,India. Final version to be published in Contemporary Mathematics, v2: minor corrections
From quantum affine Kac-Moody algebras to Drinfeldians and Yangians
V. N. Tolstoy
Abstract
A general scheme of construction of Drinfeldians and Yangians from quantum non-twisted affine Kac-Moody algebras is presented. Explicit description of Drinfeldians and Yangians for all Lie algebras of the classical series A, B, C, D are given in terms of a Cavalley basis.