3 papers
math.QA2022
Twist automorphisms and Poisson structures
Yoshiyuki Kimura, Fan Qin, Qiaoling Wei
We introduce (quantum) twist automorphisms for upper cluster algebras and cluster Poisson algebras with coefficients. Our constructions generalize the twist automorphisms for quant…
math.QA2017
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…
math.QA2016
Quantum twist maps and dual canonical bases
Yoshiyuki Kimura, Hironori Oya
In this paper, we show that quantum twist maps, introduced by Lenagan-Yakimov, induce bijections between dual canonical bases of quantum nilpotent subalgebras. As a corollary, we s…