Toward Berenstein-Zelevinsky data in affine type A, I: Construction of affine analogs
Abstract
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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