Monomial realization of the crystals over Uq(A) and the quantum monster algebra

Jeong Ah Kim, Dong Uy Shin

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We give new realizations of the crystal bases of the Verma modules and the irreducible highest weight modules over the quantum generalized Kac-Moody algebra Uq(A) and the quantum Monster algebra using Nakajima monomials. Moreover, another realization of the crystals B(∞) and B(λ) over Uq(A) using triangular matrices and tableaux are given.

Original languageEnglish
Pages (from-to)890-907
Number of pages18
JournalCommunications in Algebra
Volume38
Issue number3
DOIs
StatePublished - Mar 2010

Keywords

  • Crystals
  • Nakajima monomials

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