Categorification of highest weight modules over quantum generalized Kac-Moody algebras

Seok Jin Kang, Masaki Kashiwara, Se Jin Oh

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Let Uq (g) be a quantum generalized Kac-Moody algebra and let V (Λ) be the integrable highest weight Uq (g)-module with highest weight Λ. We prove that the cyclotomic Khovanov-Lauda-Rouquier algebra RΛ provides a categorification of V (Λ).

Original languageEnglish
Pages (from-to)315-343
Number of pages29
JournalMoscow Mathematical Journal
Volume13
Issue number2
DOIs
StatePublished - 2013

Keywords

  • Categorification
  • Cyclotomic quotient
  • Khovanov-lauda-rouquier algebras
  • Quantum generalized Kac-Moody algebras

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