论文标题
模块Eilenberg瓦计算
Module Eilenberg-Watts calculus
论文作者
论文摘要
Eilenberg-watts conculus的分类配方与任何有限类别M和N相关，有限类别Fun^{le}（n，m）和Fun^{re}（re}（re}（n，m）的线性左或右函数和右右函数和deligne product and deligne product \ bar n \ bor n \ boxtimes m byeximes m byeachointEquintences。我们建立了该微积分的变体，因为有限类别M和N是有限张量类别的模块类别。这在左右的精确模块函数（或更一般的平衡函数）和Bimodule类别的某些扭曲中心之间提供了特别的规范和明确的计算等价。
The categorical formulation of the Eilenberg-Watts calculus relates, for any pair of finite categories M and N, the finite categories Fun^{le}(N,M) and Fun^{re}(N,M) of linear left or right exact functors and the Deligne product \bar N \boxtimes M by adjoint equivalences. We establish a variant of this calculus for the case that the finite categories M and N are module categories over a finite tensor category. This provides in particular canonical and explicitly computable equivalences between categories of left or right exact module functors (or, more generally, balanced functors) and certain twisted centers of bimodule categories.
