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arXiv · 2406.16879

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

Nick Early·Jian-Rong Li
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Abstract

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.

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Nick Early, Jian-Rong Li. 2024-04-14. Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux. https://doi.org/10.1007/s10801-025-01435-1

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