Toward Berenstein-Zelevinsky data in affine type A, I: Construction of affine analogs
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affineanalogsberenstein-zelevinskydatatypealgebrabasisconjectural
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We give (conjectural) analogs of Berenstein-Zelevinsky data for affine type $A$. Moreover, by using these affine analogs of Berenstein-Zelevinsky data, we realize the crystal basis of the negative part of the quantized universal enveloping algebra of the (Langlands dual) Lie algebra of affine type $A$.
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