Crystals and Nakajima monomials for quantum generalized Kac-Moody algebras

Kyeonghoon Jeong, Seok Jin Kang, Jeong Ah Kim, Dong Uy Shin

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We introduce the notion of Nakajima monomials for quantum generalized Kac-Moody algebras and construct the crystals B (∞) and B (λ) in terms of Nakajima monomials. We also give an explicit description of the Nakajima monomials in the crystals B (∞) and B (λ) for the rank 2 quantum generalized Kac-Moody algebras and for the quantum Monster algebra.

Original languageEnglish
Pages (from-to)3732-3751
Number of pages20
JournalJournal of Algebra
Volume319
Issue number9
DOIs
StatePublished - 1 May 2008

Keywords

  • Crystals
  • Generalized Kac-Moody algebras
  • Nakajima monomials

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