English

2-gerbes and 2-Tate spaces

Category Theory 2007-09-03 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.0708.4401,
  title  = {2-gerbes and 2-Tate spaces},
  author = {Sergey Arkhipov and Kobi Kremnizer},
  journal= {arXiv preprint arXiv:0708.4401},
  year   = {2007}
}

Comments

Uses Paul Taylor`s diagrams

R2 v1 2026-06-21T09:12:50.357Z