Two-Vector Spaces and Groupoids

被引：0
作者：
Jeffrey Colin Morton
机构：
[1] University of Western Ontario,Department of Mathematics
来源：
Applied Categorical Structures | 2011年 / 19卷
关键词：
Groupoids; Two-vector spaces; Abelian categories; Two-functors; 20L05; 18E05; 18A40; 20C99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper describes a relationship between essentially finite groupoids and two-vector spaces. In particular, we show to construct two-vector spaces of Vect-valued presheaves on such groupoids. We define two-linear maps corresponding to functors between groupoids in both a covariant and contravariant way, which are ambidextrous adjoints. This is used to construct a representation—a weak functor—from Span(FinGpd) (the bicategory of essentially finite groupoids and spans of groupoids) into 2Vect. In this paper we prove this and give the construction in detail.
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页码：659 / 707
页数：48
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