Finite-dimensional irreducible representations of Yangians

We present a direct proof of the well-known classification of finite-dimensional representations of the Yangian $Y(\mathfrak{sl}_2)$ following an approach by Chary-Pressley for $U_q(\mathfrak{ \hat sl_2})$.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.39589
Primary Topic
Algebraic structures and combinatorial models
Type
preprint
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preprint

Finite-dimensional irreducible representations of Yangians

Aleksei Ilin, Mikhail Gradov
arXiv (Cornell University)
Algebraic structures and combinatorial models
preprint

Finite-dimensional irreducible representations of Yangians

Aleksei Ilin, Mikhail Gradov
preprint en

Abstract

We present a direct proof of the well-known classification of finite-dimensional representations of the Yangian $Y(\mathfrak{sl}_2)$ following an approach by Chary-Pressley for $U_q(\mathfrak{ \hat sl_2})$.

arXiv (Cornell University)
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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Finite-dimensional irreducible representations of Yangians — Aleksei Ilin, Mikhail Gradov · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS