78 citations · 265 across the 23 of their papers we have counts for
4 papers · 1 filter
Generalization and Deformation of Drinfeld quantum affine algebras
Jintai Ding, Kenji Iohara
Drinfeld gave a current realization of the quantum affine algebras as a Hopf algebra with a simple comultiplication for the quantum current operators. In this paper, we will presen…
Drinfeld comultiplication and vertex operators
Jintai Ding, Kenji Iohara
For the current realization of the quantum affine algebras, Drinfeld gave a simple comultiplication of the quantum current operators. With this comultiplication, we study the relat…
Bosonic representations of Yangian Double $\cD Y_{\hbar}(\gtg)$ with $\gtg=\gtgl_N,\gtsl_N$
Kenji Iohara
On the basis of `' formalism, we introduce the quantum double of the Yangian $Y_{\hbar}(\gtg)$ for $\gtg=\gtgl_N,\gtsl_N$ with a central extension. The Gauss decomposition…
A central extension of $\cD Y_{\hbar}(\gtgl_2)$ and its vertex representations
Kenji Iohara, Mika Kohno
A central extension of $\cD Y_{\hbar}(\gtgl_2)$ is proposed. The bosonization of level module and vertex operators are also given.