Geodesic
Drinfeld centers for bicategories
Documenta mathematica, Tome 20 (2015), pp. 707-735.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We generalize Drinfeld's notion of the center of a tensor category to bicategories. In this generality, we present a spectral sequence to compute the basic invariants of Drinfeld centers: the abelian monoid of isomorphism classes of objects, and the abelian automorphism group of its identity object. There is an associated obstruction theory that explains the difference between the Drinfeld center and the center of the classifying category. For examples, we discuss bicategories of groups and bands, rings and bimodules, as well as fusion categories.
Classification : 18D05, 55T99
Keywords: Drinfeld centers, bicategories, spectral sequences, obstruction theory, bands, bimodules, fusion categories 
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a21/}
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Meir, Ehud; Szymik, Markus. Drinfeld centers for bicategories. Documenta mathematica, Tome 20 (2015), pp. 707-735. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a21/