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PreprintCC BY 4.0arXiv

Finite-dimensional irreducible representations of Yangians

  • Mikhail Gradov
  • Aleksei Ilin
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Abstract

We present a direct proof of the well-known classification of finite-dimensional representations of the Yangian Y(sl2) following an approach by Chary-Pressley for Uq( ŝl2).

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Cite

BibTeXRIS
BibTeX
@misc{gradov2026finitedimensional,
  title = {{Finite-dimensional irreducible representations of Yangians}},
  author = {Mikhail Gradov and Aleksei Ilin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39589},
  eprint = {2610.39589},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39589},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Finite-dimensional irreducible representations of Yangians
AU  - Mikhail Gradov
AU  - Aleksei Ilin
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39589
UR  - https://arxiv.org/abs/2610.39589
AB  - We present a direct proof of the well-known classification of finite-dimensional representations of the Yangian Y(sl_2) following an approach by Chary-Pressley for U_q( ŝl_2).
ER  -