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math.RT2010★ 4 cited
Mirković-Vilonen Polytopes and a quiver construction of crystal basis in type
Yoshihisa Saito
In the current paper, we give a quiver theoretical interpretation of Mirković-Vilonen polytopes in type . As a by-product, we give a new proof of the Anderson-Mirković conject…
math.QA2010★ 9 cited
Toward Berenstein-Zelevinsky data in affine type , I: Construction of affine analogs
Satoshi Naito, Daisuke Sagaki, Yoshihisa Saito
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…