2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137108We construct a central extension of the group of automorphisms of a 2-Tate vector space viewed as a discrete 2-group. This is done using an action of this 2-group on a 2-gerbe of gerbel theories. This central extension is used to define central extensions of double loop groups.Uses Paul Taylor`s diagramsCategory TheoryRepresentation Theorytext