The balanced tensor product of module categories

被引：35

作者：

Douglas, Christopher L. ^{[1
]}

Schommer-Pries, Christopher ^{[2
]}

Snyder, Noah ^{[3
]}

机构：

[1] Univ Oxford, Math Inst, Oxford OX1 3LB, England

[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[3] Indiana Univ, Dept Math, Bloomington, IN 47401 USA

来源：

KYOTO JOURNAL OF MATHEMATICS | 2019年 / 59卷 / 01期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

D O I：

10.1215/21562261-2018-0006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The balanced tensor product M circle times(A) N of two modules over an algebra A is the vector space corepresenting A-balanced bilinear maps out of the product M x N.The balanced tensor product M boxed times(C) N of two module categories over a monoidal linear category C is the linear category corepresenting C-balanced right-exact bilinear functors out of the product category M x N. We show that the balanced tensor product can be realized as a category of bimodule objects in C, provided the monoidal linear category is finite and rigid.

引用

页码：167 / 179

页数：13

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