Generalized Drinfeld realization of quantum superalgebras and $U_q(\hat {\frak osp}(1,2))$

Jintai Ding; Boris Feigin

Generalized Drinfeld realization of quantum superalgebras and $U_q(\hat {\frak osp}(1,2))$

Quantum Algebra 2007-05-23 v3

Authors: Jintai Ding , Boris Feigin

Abstract

In this paper, we extend the generalization of Drinfeld realization of quantum affine algebras to quantum affine superalgebras with its Drinfeld comultiplication and its Hopf algebra structure, which depends on a function $g(z)$ satisfying the relation: $g(z)=g(z^{-1})^{-1}.$ In particular, we present the Drinfeld realization of $U_q(\hat {\frak osp}(1,2))$ and its Serre relations.

Keywords

quantum superalgebra generalized drinfeld realization drinfeld comultiplication hopf algebra serre relations u_q(osp(1,2))

Cite

@article{arxiv.math/9905087,
  title  = {Generalized Drinfeld realization of quantum superalgebras and $U_q(\hat {\frak osp}(1,2))$},
  author = {Jintai Ding and Boris Feigin},
  journal= {arXiv preprint arXiv:math/9905087},
  year   = {2007}
}

Comments

14 pages, 2 figures, Ams-latex. Dedicated to Moshe Flato. Correct typos. Acknowledgments added

Generalized Drinfeld realization of quantum superalgebras and $U_q(\hat {\frak osp}(1,2))$

Abstract

Keywords

Cite

Comments

Related papers