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math.RT2022★ 4 cited
The valuation pairing on an upper cluster algebra
Peigen Cao, Bernhard Keller, Fan Qin
It is known that many (upper) cluster algebras are not unique factorization domains. We exhibit the local factorization properties with respect to any given seed : any non-zero…
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…