Supercategorification of quantum Kac-Moody algebras

Seok Jin Kang, Masaki Kashiwara, Se jin Oh

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We show that the quiver Hecke superalgebras and their cyclotomic quotients provide a supercategorification of quantum Kac-Moody algebras and their integrable highest weight modules.

Original languageEnglish
Pages (from-to)116-162
Number of pages47
JournalAdvances in Mathematics
Volume242
DOIs
StatePublished - 1 Aug 2013

Keywords

  • Categorification
  • Cyclotomic quotients
  • Quantum Kac-Moody algebras
  • Quiver Hecke superalgebras

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