Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs
Quantum Algebra
2010-09-24 v1 Representation Theory
Abstract
We give (conjectural) analogs of Berenstein-Zelevinsky data for affine type . 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 .
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Cite
@article{arxiv.1009.4526,
title = {Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs},
author = {Satoshi Naito and Daisuke Sagaki and Yoshihisa Saito},
journal= {arXiv preprint arXiv:1009.4526},
year = {2010}
}
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46 pages