2-gerbes and 2-Tate spaces

Mathematics – Category Theory

Scientific paper

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Uses Paul Taylor`s diagrams

Scientific paper

We 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.

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