Two-parameter quantum affine algebra of type Cn(1), Drinfeld realization and vertex representation
نویسندگان
چکیده
منابع مشابه
On Drinfeld Realization of Quantum Affine Algebras
In 1987 Drinfeld [Dr2] gave an extremely important realization of quantum affine algebras [Dr1][Jb]. This new realization has lead to numerous applications such as the vertex representations [FJ][J]. The proof of this realization was not in print until Beck’s braid group interpretation for the untwisted types [B]. Some of lower rank cases were also studied in [D][S]. All these work started from...
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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...
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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
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We give a new presentation of the Drinfeld double E of the (spherical) elliptic Hall algebra E+ introduced in our previous work (Burban and Schiffmann in Duke Math. J. preprint math.AG/0505148, 2005). This presentation is similar in spirit to Drinfeld’s ‘new realization’ of quantum affine algebras. This answers, in the case of elliptic curves, a question of Kapranov concerning functional relati...
متن کاملComments on Drinfeld Realization of Quantum Affine Superalgebra Uq[gl(m|n) ] and Its Hopf Algebra Structure
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]
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2016
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2016.03.031