Some finite dimensional representations of shifted quantum affine algebras of type A

Ryosuke Kodera; Kentaro Wada

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arXiv · 2609.11337

Some finite dimensional representations of shifted quantum affine algebras of type A

Ryosuke Kodera·Kentaro Wada

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Abstract

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 modules of the quantum loop algebra and a one-dimensional representation of the shifted quantum affine algebra under the separation condition. As a consequence, we give the q-characters of some finite dimensional simple modules of the shifted quantum affine algebra.

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Ryosuke Kodera, Kentaro Wada. 2026-09-10. Some finite dimensional representations of shifted quantum affine algebras of type A. https://arxiv.org/abs/2609.11337

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