Abstract
In this article we introduce and study the first cohomology categorical group ℋ1(𝔾,𝔸) of a categorical group 𝔾 with coefficients in a braided categorical group 𝔸 provided of a coherent 𝔾-action. The fundamental exact sequence connecting ℋ0 and ℋ1 in this context is then established.
ACKNOWLEDGMENT
The research is partially supported by DGI (M.E.C.) MTM2004-01060. 2004–2007.
Notes
Communicated by C. Cibils.