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
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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) | ||||||
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| 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. | ||||||
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| 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 |
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