Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux
arxiv(2024)
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. 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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