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

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

1999-05-13

arxiv.org/abs/math/9905087v3

Mathematics

Quantum Algebra

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

Scientific paper

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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