Geodesic
Categorical representations of categorical groups
Theory and applications of categories, Tome 16 (2006), pp. 529-557

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

A representation theory for (strict) categorical groups is constructed. Each categorical group determines a monoidal bicategory of representations. Typically, these bicategories contain representations which are indecomposable but not irreducible. A simple example is computed in explicit detail.

Classification : 18D05
Keywords: categorical group, categorical representations, monoidal 2-categories 
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John W. Barrett; Marco Mackaay. Categorical representations of categorical groups. Theory and applications of categories, Tome 16 (2006), pp. 529-557. http://geodesic.mathdoc.fr/item/TAC_2006_16_a19/