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Crystal Bases and Monomials forUq(G2)-Modules

Authors :
Dong-Uy Shin
Source :
Communications in Algebra. 34:129-142
Publication Year :
2006
Publisher :
Informa UK Limited, 2006.

Abstract

In this article, we give a new realization of crystal bases for irreducible highest weight modules over U q (G 2) in terms of monomials. We also discuss the natural connection between the monomial realization and tableau realization. Communicated by K. Misra

Subjects

Subjects :
Crystal (programming language)
Discrete mathematics
Monomial
Algebra and Number Theory
Mathematics::Commutative Algebra
Connection (algebraic framework)
Monomial basis
Realization (systems)
Monomial order
Mathematics
Crystal base

Details

ISSN :
15324125 and 00927872
Volume :
34
Database :
OpenAIRE
Journal :
Communications in Algebra
Accession number :
edsair.doi...........d5feae5be77b4c943aea9d856d95b27d
Full Text :
https://doi.org/10.1080/00927870500346073
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