张量代数上一种带辫子的Poisson结构  

Poisson structures of tensor algebras with braidings

作　　者：王欣[1] 沈远 WANG Xin;SHEN Yuan(School of Math. Sci., Zhejiang Univ., Hangzhou 310027, China;Department of Math., Zhejiang Sci-Tech Univ., Hangzhou 310018, China)

机构地区：[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

出　　处：《高校应用数学学报（A辑）》2017年第4期379-387,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11671351;11626215)

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.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.

关 键 词：POISSON代数 R-冲积 辫子 

分 类 号：O153.3[理学—数学]