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 Letter, we will present a …

We further define two-parameter quantum affine algebra U_ r, s (sl _n)(n> 2) after the work
on the finite cases (see BW1, BGH1, HS, BH), which turns out to be a Drinfel'd double. Of …

In this paper we extend Drinfeld's current realization of quantum affine algebras U q (ĝ) and
of the Yangians in several directions: we construct current operators for non-simple roots of …

(1) Utilizing a braid group action on a completion of U q (sl n+ 1∧), an algebra
homomorphism from the toroidal algebra U q (sl n+ 1, tor)(n⩾ 2) to a completion of U q (gl n+ …

In this paper we extend the Reshetikhin–Semenov–Tian–Shansky formulation of quantum
affine algebras to the two-parameter quantum affine superalgebra U p, q (gl ̂ (m| n)) and …

We consider principal subspace W ({\Lambda}) of integrable highest weight module L
({\Lambda}) for quantum affine algebra $ U_q (\hat {\mathfrak {sl}} _ {n+ 1}) $. We introduce …

We consider principal subspace W (Λ) of integrable highest weight module L (Λ) for
quantum affine algebra U q (sl ˆ n+ 1). We introduce quantum analogues of the quasi …

The work is devoted to a probably new connection between deformed Virasoro algebra and
quantum affine algebra sl _2 sl 2. We give an explicit realization of Virasoro current via the …

In this paper, we extend the Reshetikhin-Semenov-Tian-Shansky formulation of quantum
affine algebras to the two-parameter quantum affine superalgebra $ U_ {p, q}(\widehat …

For the current realization of the affine quantum groups, a simple comultiplication for the
quantum current operators was given by Drinfeld. With this comultiplication, we study the …