Simplicity of heads and socles of tensor products

2014/11/26 by Seok-Jin Kang, Masaki Kashiwara, Myungho Kim +1 · 3 citations
Mathematics · #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #Advanced Operator Algebra Research

paper · pdf · doi:10.1112/s0010437x14007799

Abstract

Abstract We prove that, for simple modules M and N over a quantum affine algebra, their tensor product M⊗ N has a simple head and a simple socle if M⊗ M is simple. A similar result is proved for the convolution product of simple modules over quiver Hecke algebras.

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• Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models
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