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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{kodera2026some,
  title = {{Some finite dimensional representations of shifted quantum affine algebras of type A}},
  author = {Ryosuke Kodera and Kentaro Wada},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11337},
  eprint = {2609.11337},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11337},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Some finite dimensional representations of shifted quantum affine algebras of type A
AU  - Ryosuke Kodera
AU  - Kentaro Wada
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11337
UR  - https://arxiv.org/abs/2609.11337
AB  - 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.
ER  -