几类张量空间的乘积基的结构  

The structure of product bases of several kinds of tensor spaces

作　　者：唐西林[1] 刘燕娜[1] TANG Xi-lin;LIU Yan-na(Department of Mathematics,South China University of Technology,Guangzhou 510640,China)

机构地区：[1]华南理工大学数学学院,广东广州510640

出　　处：《佛山科学技术学院学报（自然科学版）》2018年第2期1-6,共6页Journal of Foshan University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11571119)

摘　　要：通过刻画mn的乘积基得到33的乘积基的结构,并回答了修正后的猜想中d=3×3的情况。此外,通过分析22的乘积基可得222的乘积基的结构,同理可得223的乘积基的结构。By characterizing the product bases of m×n to get the structure of product bases of 3×3,it gives an answer to the revised conjecture in case of d=3 x3.In addition,we analyze the product bases of 2×2 to get the structure of product bases of 2×2×2,similarly,we can obtain the structure of product bases of 2×2×3.

关 键 词：张量空间 乘积基 结构 

分 类 号：O151.24[理学—数学]