2-Gerbes and 2-Tate Spaces

  • Sergey Arkhipov
  • Kobi Kremnizer
Part of the Progress in Mathematics book series (PM, volume 279)


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 gerbal theories. This central extension is used to define central extensions of double loop groups.


Automorphism Group Natural Transformation Central Extension Module Category Compact Object 
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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada
  2. 2.Mathematical InstituteUniversity of OxfordOxfordUK

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