Generalized Drinfeld realization of quantum superalgebras and $U_q(\widehat{\mathfrak{o}sp}(1,2))$

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 $U_q(\widehat{\mathfrak{o}sp}(1,2))$ and its Serre relations.

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