Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.11337

Authors: Kodera, Ryosuke, Wada, Kentaro

Institution: Shinshu University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212281277

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