Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A
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algebrasbasescomponentconnectedcrystalmodifiedpolyhedralquantum
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We describe the crystal bases of modified quantum algebras and its connected component containing ``zero vector''by the polyhedral realization method for the types A_n and A^(1)_1. We also present the explicit form of the unique highest weight vector in the connected component.
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