| 张量代数上一种带辫子的Poisson结构 |
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| 引用本文： | 王欣,沈远. 张量代数上一种带辫子的Poisson结构[J]. 高校应用数学学报(A辑), 2017, 32(4) |
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| 作者姓名： | 王欣 沈远 |
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| 作者单位： | 1. 浙江大学数学科学学院,浙江杭州,310027;2. 浙江理工大学数学科学系,浙江杭州,310018 |
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| 摘 要： | 对应结合代数的R-冲积构造,考虑了相应半古典极限的Poisson结构构造.进而给出了张量代数上一种带辫子的Poisson结构,该结果推广了Poisson多项式环和双Poisson-Ore扩张.
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| 关 键 词： | Poisson代数 R-冲积 辫子 |
Poisson structures of tensor algebras with braidings |
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| WANG Xin,SHEN Yuan. Poisson structures of tensor algebras with braidings[J]. Applied Mathematics A Journal of Chinese Universities, 2017, 32(4) |
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| Authors: | WANG Xin SHEN Yuan |
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| Abstract: | Corresponding to R-smash products of associative algebras, a kind of Poisson structure construction for relative semiclassical limits is constructed. Going a step further, Poisson structures with a kind of braiding of tensor products are given, which contain the results of Poisson polynomial extensions and double Poisson-Ore extensions. |
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| Keywords: | Poisson algebra R-smash product braiding |
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