Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Arbitrary Rank 2 Cases
arXiv:math/0403192
Abstract
We describe the crystal bases of the modified quantum algebras and give the explicit form of the highest (or lowest) weight vector of its connected component containing the unit element for arbitrary rank 2 cases. We also present the explicit form of containing the highest (or lowest) weight vector by the polyhedral realization method.
26 pages, LaTeX