@inproceedings{7c4210bd588b44fababff399db66df07,

title = "Centres of monoidal categories of functors",

abstract = "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.",

keywords = "monoidal category, braiding, centre, promonad, promonoidal category, Hopf algebra, fibration, convolution, Kleisli construction, enriched category, TENSOR CATEGORIES",

author = "Brian Day and Ross Street",

year = "2007",

doi = "10.1090/conm/431/08273",

language = "English",

isbn = "9780821839706",

volume = "431",

series = "CONTEMPORARY MATHEMATICS SERIES",

publisher = "AMER MATHEMATICAL SOC",

pages = "187--202",

editor = "Alexei Davydov and Michael Batanin and Michael Johnson and Stephen Lack and Amnon Neeman",

booktitle = "Categories in algebra, geometry and mathematical physics",

}