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From quantum affine Kac-Moody algebras to Drinfeldians and Yangians

Quantum Algebra 2007-05-23 v2 Mathematical Physics math.MP Representation Theory

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.

Keywords

Cite

@article{arxiv.math/0212370,
  title  = {From quantum affine Kac-Moody algebras to Drinfeldians and Yangians},
  author = {V. N. Tolstoy},
  journal= {arXiv preprint arXiv:math/0212370},
  year   = {2007}
}

Comments

22 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