Perfect bases for integrable modules over generalized Kac-Moody algebras

Seok Jin Kang, Se Jin Oh, Euiyong Park

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We introduce the notion of perfect bases for integrable highest weight modules over generalized Kac-Moody algebras and show that the colored oriented graphs arising from perfect bases are isomorphic to the highest weight crystals B(λ) over quantum generalized Kac-Moody algebras.

Original languageEnglish
Pages (from-to)571-587
Number of pages17
JournalAlgebras and Representation Theory
Volume14
Issue number3
DOIs
StatePublished - Jun 2011

Keywords

  • Crystal bases
  • Generalized Kac-Moody algebras
  • Perfect bases
  • Representations

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