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2-gerbes and 2-Tate spaces

2007/08/31 by Sergey Arkhipov, Arkhipov, Sergey, Kobi Kremnizer +1
Mathematics · Medicine · #Advanced Topology and Set Theory #Category Theory (math.CT) #FOS: Mathematics #Intracranial Aneurysms: Treatment and Complications #Representation Theory (math.RT) #Rings, Modules, and Algebras #math.CT #math.RT

paper · pdf · doi:10.48550/arxiv.0708.4401

Uses Paul Taylor`s diagrams

arxiv created 2007/08/31 · openalex publication_date 2007/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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