Timeline for How to explicitly describe algebras in a monoidal 2-category?
Current License: CC BY-SA 2.5
3 events
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Nov 1, 2010 at 9:49 | comment | added | Zoran Skoda | I suggest looking at B. Day, R. Street, Monoidal bicategories and Hopf algebroids, Advances in Mathematics, 129, 1 (1997) 99–157 | |
Oct 30, 2010 at 16:29 | comment | added | Justin Greenough | Yes this is what I say. In the definition of monoidal category the associator is a natural isomorphism which therefore satisfies further naturality diagrams. The associator in the algebra-object case is simply a 2-cell which in general isn't required to satisfy anything like naturality. I wondered whether extra diagrams ought to have been included to reflect this, diagrams akin to those given in the paper of Kapranov and Voevodsky on quantum Yang-Baxter equations. | |
Oct 30, 2010 at 16:07 | history | answered | Evan Jenkins | CC BY-SA 2.5 |