Centres of monoidal categories of functors | Macquarie University ResearchOnline

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/189698

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Title: Centres of monoidal categories of functors
Related: Contemporary mathematics, Vol. 431, (2007), p.187-202
Publisher: American Mathematical Society
Date: 2007
FoR/RFCD Code(s): 010100 Pure Mathematics
Author/Creator: Day, Brian
Author/Creator: Street, Ross
Description: 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.
Description: 16 page(s)
Subject Keyword: 010100 Pure Mathematics
Subject Keyword: mathematics
Subject Keyword: monoidal category
Subject Keyword: convolution
Subject Keyword: monoidal centre
Subject Keyword: Hopf algebra
Subject Keyword: fibration
Subject Keyword: Kleisli construction
Subject Keyword: enriched category
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

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