Monomial realization of crystal graphs for U q (A n (1))

Jeong Ah Kim

doi:10.1007/s00208-004-0613-3

Monomial realization of crystal graphs for U _q (A _n ⁽¹⁾)

Jeong Ah Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We give a new realization of crystal graphs for irreducible highest weight modules over U _q (A _n ⁽¹⁾) in terms of the monomials introduced by H. Nakajima. We also discuss the natural connection between the monomial realization and other known realizations, path realization and Young wall realization.

Original language	English
Pages (from-to)	17-35
Number of pages	19
Journal	Mathematische Annalen
Volume	332
Issue number	1
DOIs	https://doi.org/10.1007/s00208-004-0613-3
State	Published - May 2005

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abstract = "We give a new realization of crystal graphs for irreducible highest weight modules over U q (A n (1)) in terms of the monomials introduced by H. Nakajima. We also discuss the natural connection between the monomial realization and other known realizations, path realization and Young wall realization.",

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Monomial realization of crystal graphs for U _q (A _n ⁽¹⁾)

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