Monomial realization of crystal bases for special linear Lie algebras

Seok Jin Kang, Jeong Ah Kim, Dong Uy Shin

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

We give a new realization of crystal bases for finite-dimensional irreducible modules over special linear Lie algebras using the monomials introduced by H. Nakajima. We also discuss the connection between this monomial realization and the tableau realization given by Kashiwara and Nakashima.

Original languageEnglish
Pages (from-to)629-642
Number of pages14
JournalJournal of Algebra
Volume274
Issue number2
DOIs
StatePublished - 15 Apr 2004

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