English

Crystal bases and monomials for $U_q(G_2)$-modules

Quantum Algebra 2007-05-23 v1 Representation Theory

Abstract

In this paper, we give a new realization of crystal bases for irreducible highest weight modules over Uq(G2)U_q(G_2) in terms of monomials. We also discuss the natural connection between the monomial realization and tableau realization.

Keywords

Cite

@article{arxiv.math/0308176,
  title  = {Crystal bases and monomials for $U_q(G_2)$-modules},
  author = {Dong-Uy Shin},
  journal= {arXiv preprint arXiv:math/0308176},
  year   = {2007}
}

Comments

14 pages