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Twist Automorphisms and Poisson Structures
Symmetry, integrability and geometry: methods and applications, Tome 19 (2023) Cet article a éte moissonné depuis la source Math-Net.Ru

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We introduce (quantum) twist automorphisms for upper cluster algebras and cluster Poisson algebras with coefficients. Our constructions generalize the twist automorphisms for quantum unipotent cells. We study their existence and their compatibility with Poisson structures and quantization. The twist automorphisms always permute well-behaved bases for cluster algebras. We explicitly construct (quantum) twist automorphisms of Donaldson–Thomas type and for principal coefficients.
Keywords: cluster algebras, twist automorphisms
Mots-clés : Poisson algebras. 
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     author = {Yoshiyuki Kimura and Fan Qin and Qiaoling Wei},
     title = {Twist {Automorphisms} and {Poisson} {Structures}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a104/}
}
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Yoshiyuki Kimura; Fan Qin; Qiaoling Wei. Twist Automorphisms and Poisson Structures. Symmetry, integrability and geometry: methods and applications, Tome 19 (2023). http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a104/

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