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Main Authors:	Early, Nick, Li, Jian-Rong
Format:	Preprint
Published:	2024
Subjects:	Quantum Algebra
Online Access:	https://arxiv.org/abs/2406.16879
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_version_	1866917392758603776
author	Early, Nick Li, Jian-Rong
author_facet	Early, Nick Li, Jian-Rong
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2406_16879
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux Early, Nick Li, Jian-Rong Quantum Algebra 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.
title	Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux
topic	Quantum Algebra
url	https://arxiv.org/abs/2406.16879

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