Descent and Forms of Tensor Categories
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Etingof_Descent and forms.pdf
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261.51 KB
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Adobe PDF
Checksum (MD5)
5305ab7f700b5d2f728b7e99777f2f1b
Author(s)
Etingof, Pavel I.
Gelaki, Shlomo
Date Issued
July 2011
Journal
International Mathematics Research Notices
Publisher
Oxford University Press
Citation
Etingof, P., and S. Gelaki. “Descent and Forms of Tensor Categories.” International Mathematics Research Notices (July 10, 2011).
Version
Original manuscript
Abstract
We develop a theory of descent and forms of tensor categories over arbitrary fields. We describe the general scheme of classification of such forms using algebraic and homotopical language, and give examples of explicit classification of forms. We also discuss the problem of categorification of weak fusion rings, and for the simplest families of such rings, determine which ones are categorifiable.
Description
Original manuscript February 5, 2012
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1093/imrn/rnr119
