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

Jintai Ding·Boris Feigin
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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.

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Jintai Ding, Boris Feigin. 2001-03-13. Generalized Drinfeld realization of quantum superalgebras and $U_q(\hat {\frak osp}(1,2))$. https://arxiv.org/abs/math/9905087

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