论文标题
扭曲自动形态和泊松结构
Twist automorphisms and Poisson structures
论文作者
论文摘要
我们引入了（量子）扭曲自动形态，用于具有系数的上群集代数和簇代数。我们的构造概括了量子单位细胞的扭曲自动形态。我们研究它们的存在以及它们与泊松结构和量化的兼容性。扭曲自动形态始终为群集代数储存良好的基础。我们明确构建了唐纳森 - 托马斯类型和主系数的扭曲自动形态。
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.
