Monomial realization of crystal bases B(∞) for the quantum finite algebras

Jeong Ah Kim, Dong-Uy Shin

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

In this paper, we give a new realization of the crystal basis B(∞) using modified Nakajima monomials for the quantum finite algebras. Moreover, as an application, we obtain the image of the Kashiwara embedding Ψ ι from this realization of B(∞).

Original languageEnglish
Pages (from-to)93-105
Number of pages13
JournalAlgebras and Representation Theory
Volume11
Issue number1
DOIs
StatePublished - 2008 Mar 1

Keywords

  • Crystal basis
  • Kashiwara embedding
  • Nakajima monomials
  • Quantum qroups

Fingerprint Dive into the research topics of 'Monomial realization of crystal bases B(∞) for the quantum finite algebras'. Together they form a unique fingerprint.

  • Cite this