CaltechAUTHORS
  A Caltech Library Service

The 2-group of linear auto-equivalences of an abelian category and its Lie 2-algebra

Zhu, Xinwen (2009) The 2-group of linear auto-equivalences of an abelian category and its Lie 2-algebra. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20140919-164455687

[img]
Preview
PDF - Submitted Version
See Usage Policy.

496Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20140919-164455687

Abstract

For any abelian category C satsifying (AB5) over a separated, quasi-compact scheme S, we construct a stack of 2-groups GL(C) over the flat site of S. We will give a concrete description of GL(C) when C is the category of quasi-coherent sheaves on a separated, quasi-compact scheme X over S. We will show that the tangent space gl(C) of GL(C) at the origin has a structure as a Lie 2-algebra.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/0910.5699arXivDiscussion Paper
Additional Information:Imported from arXiv. Supported by DARPA through the grant HR0011-09-1-0015. This paper was motivated by my joint project with Edward Frenkel [FZ1, FZ2] on gerbal representations of double groups and Lie algebras. I would like to express my deep gratitude to him for collaboration and numerous discussions. I would also like to thank Martin Olsson and Chenyang Xu for useful discussions.
Funders:
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)HR0011-09-1-0015
Record Number:CaltechAUTHORS:20140919-164455687
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140919-164455687
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49875
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 Sep 2014 19:35
Last Modified:22 Sep 2014 19:35

Repository Staff Only: item control page