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

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

2003-08-19

arxiv.org/abs/math/0308176v1

Mathematics

Quantum Algebra

14 pages

Scientific paper

In this paper, 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.

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