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<p>Finite-dimensional simple modules of quantum affine algebras of type A correspond to semistandard Young tableaux of rectangular shapes. In this paper, we classify all prime modules corresponding to 2-column semistandard Young tableaux, up to a conjectural property. Moreover, we give a conjectural sufficient condition for a module corresponding to a tableau with more than two columns to be prime.</p>

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Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月15日

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  • Nick Early,
  • Jian-Rong Li

摘要

Finite-dimensional simple modules of quantum affine algebras of type A correspond to semistandard Young tableaux of rectangular shapes. In this paper, we classify all prime modules corresponding to 2-column semistandard Young tableaux, up to a conjectural property. Moreover, we give a conjectural sufficient condition for a module corresponding to a tableau with more than two columns to be prime.