Simplicity of heads and socles of tensor products

Seok Jin Kang, Masaki Kashiwara, Myungho Kim, Se Jin Oh

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

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.

Original languageEnglish
Pages (from-to)377-396
Number of pages20
JournalCompositio Mathematica
Volume151
Issue number2
DOIs
StatePublished - 25 Feb 2015

Keywords

  • Khovanov-Lauda-Rouquier algebra
  • R-matrix
  • quantum affine algebra

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