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

2024/04/14 by Nick Early, Early, Nick, Jian-Rong Li +1 · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Quantum Computing Algorithms and Architecture

paper · pdf · doi:10.48550/arxiv.2406.16879

openalex publication_date 2024/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

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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