35 citations · 92 across the 12 of their papers we have counts for
12 papers
Some finite dimensional representations of shifted quantum affine algebras of type A
Ryosuke Kodera, Kentaro Wada
In this paper, we study finite dimensional representations of shifted quantum affine algebras of type A. We give an explicit description of the tensor product of simple evaluation…
Coproduct for affine Yangians and parabolic induction for rectangular -algebras
Ryosuke Kodera, Mamoru Ueda
We construct algebra homomorphisms from affine Yangians to the current algebras of rectangular -algebras both in type A. The construction is given via the coproduct and the eval…
Finite dimensional simple modules of -current algebras
Ryosuke Kodera, Kentaro Wada
The -current algebra associated with the general linear Lie algebra was introduced by the second author in the study of representation theory of cyclotomic -Sch…
Level one Weyl modules for toroidal Lie algebras
Ryosuke Kodera
We identify level one global Weyl modules for toroidal Lie algebras with certain twists of modules constructed by Moody-Eswara Rao-Yokonuma via vertex operators for type ADE and by…
On Guay's evaluation map for affine Yangians
Ryosuke Kodera
We give a detailed proof of the existence of evaluation map for affine Yangians of type A to clarify that it needs an assumption on parameters. This map was first found by Guay but…
Braid Group Action on Affine Yangian
Ryosuke Kodera
We study braid group actions on Yangians associated with symmetrizable Kac-Moody Lie algebras. As an application, we focus on the affine Yangian of type A and use the action to pro…