Centres of monoidal categories of functors

被引：0
|
作者：
Day, Brian [1 ]
Street, Ross [2 ]
机构：
[1] Univ Sydney, Sydney, NSW 2006, Australia
[2] Macquarie Univ, N Ryde, NSW 2109, Australia
来源：
CATEGORIES IN ALGEBRA, GEOMETRY AND MATHEMATICAL PHYSICS | 2007年 / 431卷
关键词：
monoidal category; braiding; centre; promonad; promonoidal category; Hopf algebra; fibration; convolution; Kleisli construction; enriched category;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper explores when the (lax) centre of a closed monoidal (enriched) functor category is again a functor category. For some of this, we exploit the Kleisli construction in the bicategory of modules between enriched categories. We look at (lax) centres of reflective full subcategories of monoidal functor categories. A result is obtained concerning the centre of the pointwise tensor product structure on the category of functors from a groupoid to a wide class of monoidal categories.
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页码：187 / +
页数：3
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