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Macquarie University  Department of Mathematics

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Categories in Algebra, Geometry and Mathematical Physics

Conference in honour of Ross Street's sixtieth birthday

July 11-16 2005, Macquarie University, Sydney

Sat, 16 July:  11:30 - 12:10

$n$-fold operads in iterated monoidal categories
Forcey, Stefan (Tennessee State University, Nashville)

This presentation explains how the iterated generalization of
braidings and symmetries on a monoidal category allows a highly
structured generalization of the operads that live in one. After a
brief recounting of the meaning of iterated monoidal category, I
introduce a new family tree of simple combinatorial (and pictorial!)
examples. Then I define $n$-fold operads and their algebras, and give
examples which correspond to the just mentioned categories. Finally
there is a discussion of the way that these operads might be helpful in
the description of higher-dimensional weakly enriched iterated monoidal
categories.

Typeset PDF of this abstract.