Geodesic
Twisted actions of categorical groups
Theory and applications of categories, Tome 29 (2014), pp. 215-255
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We develop a theory of twisted actions of categorical groups using a notion of semidirect product of categories. We work through numerous examples to demonstrate the power of these notions. Turning to representations, which are actions that respect vector space structures, we establish an analog of Schur's lemma in this context. Keeping new terminology to a minimum, we concentrate on examples exploring the essential new notions introduced.

Publié le :
Classification : Primary18D05, Secondary: 20C99
Keywords: Representations, Double Categories, Categorical Groups, 2-Groups, Semidirect Products 
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     author = {Saikat Chatterjee and Amitabha Lahiri and Ambar N. Sengupta},
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Saikat Chatterjee; Amitabha Lahiri; Ambar N. Sengupta. Twisted actions of categorical groups. Theory and applications of categories, Tome 29 (2014), pp. 215-255. http://geodesic.mathdoc.fr/item/TAC_2014_29_a7/