Let G be a finite 2-group. We show that the 2-category
2Rep(G) of finite semisimple 2-representations is a
symmetric fusion 2-category. We also relate the auto-equivalence 2-group of the
symmetric monoidal forgetful 2-functor Ο:2Rep(G)β2Vec to the auto-equivalence 2-group of the regular algebra and show
that they are equivalent to G. This result categorifies the usual
Tannaka-Krein duality for finite groups.Comment: 15 pages. Comments are welcom