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math.QA2017★ 2 cited
The Chamber Ansatz for quantum unipotent cells
Hironori Oya
In this paper, we prove quantum analogues of the Chamber Ansatz formulae for unipotent cells. These formulae imply that the quantum twist automorphisms, constructed by Kimura and t…
math.QA2017★ 13 cited
Twist automorphisms on quantum unipotent cells and dual canonical bases
Yoshiyuki Kimura, Hironori Oya
In this paper, we construct twist automorphisms on quantum unipotent cells, which are quantum analogues of the Berenstein-Fomin-Zelevinsky twist automorphisms on unipotent cells. W…