Comments on Drinfeld Realization of Quantum Affine Superalgebra Uq[gl(m|n) ] and Its Hopf Algebra Structure
نویسنده
چکیده
By generalizing the Reshetikhin and Semenov-Tian-Shansky construction to supersymmetric cases, we obtain Drinfeld current realization for quantum affine superalgebra Uq[gl(m|n) ]. We find a simple coproduct for the quantum current generators and establish the Hopf algebra structure of this super current algebra. Queen Elizabeth II Fellow; Email: [email protected]
منابع مشابه
1 On Drinfeld Basis of the Twisted Quantum Affine Superalgebra
We derive Drinfeld current realization of the twisted quantum affine superalgebra Uq[osp(2|2) (2)], by using the super RS algebra and Gauss decomposition. Mathematics Subject Classifications (1991): 81R10, 17B37, 16W30
متن کاملOn Super RS Algebra and Drinfeld Realization of Quantum Affine Superalgebras
We describe the realization of the super Reshetikhin-Semenov-Tian-Shansky (RS) algebra in quantum affine superalgebras, thus generalizing the approach of Frenkel-Reshetikhin to the supersymmetric (and twisted) case. The algebraic homomorphism between the super RS algebra and the Drinfeld current realization of quantum affine superalgebras is established by using the Gauss decomposition techniqu...
متن کاملElliptic Quantum Group Uq,p(ŝl2) and Vertex Operators
Introducing an H-Hopf algebroid structure into Uq,p(ŝl2), we investigate the vertex operators of the elliptic quantum group Uq,p(ŝl2) defined as intertwining operators of infinite dimensional Uq,p(ŝl2)-modules. We show that the vertex operators coincide with the previous results obtained indirectly by using the quasi-Hopf algebra Bq,λ(ŝl2). This shows a consistency of our H-Hopf algebroid struc...
متن کاملA Remark On the FRTS realization and Drinfeld Realization of Quantum Affine Superalgebra
In this paper, we present the hidden symmetry behind the Faddeev-Reshetikhin-TakhtajanSemenov-Tian-Shansky realization of quantum affine superalgebras Uq( ˆ osp(1, 2)) and add the q-Serre relation to the Drinfeld realization of Uq( ˆ osp(1, 2)) [8] derived from the FRTS realization. Mathematics Subject Classifications (1991): 81R10, 17B37
متن کاملmath.QA/9905021 Twisted Quantum Affine Superalgebra Uq[gl(m|n) (2)] and New Uq[osp(m|n)] Invariant R-matrices
The minimal irreducible representations of Uq[gl(m|n)], i.e. those irreducible representations that are also irreducible under Uq[osp(m|n)] are investigated and shown to be affinizable to give irreducible representations of the twisted quantum affine superalgebra Uq[gl(m|n) ]. The Uq[osp(m|n)] invariant R-matrices corresponding to the tensor product of any two minimal representations are constr...
متن کامل