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

1999/05/13 by Jintai Ding, Ding, Jintai, Boris Feigin +1
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/9905087

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

arxiv created 2001/03/13 · arxiv updated 2009/11/30

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( \frak osp(1,2)) and its Serre relations.

Related

• A Remark On the FRTS realization and Drinfeld Realization of Quantum Affine Superalgebra U_q( osp(1,2))
• Drinfeld realisations of quantum affine superalgebras
• On Super RS algebra and Drinfeld Realization of Quantum Affine Superalgebras
• Drinfeld Realization for quantum affine superalgebras of type B
• Drinfeld realisations and vertex operator representations of quantum affine superalgebras