Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Arbitrary Rank 2 Cases
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 B0(λ) containing the unit element for arbitrary rank 2 cases. We also present the explicit form of B0(λ) containing the highest (or lowest) weight vector by the polyhedral realization method.
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