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

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

2010-09-23

arxiv.org/abs/1009.4526v1

Mathematics

Quantum Algebra

46 pages

Scientific paper

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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