Descent and Forms of Tensor Categories
Original manuscript February 5, 2012
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Oxford University Press
2013
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| Online Access: | http://hdl.handle.net/1721.1/79892 https://orcid.org/0000-0002-0710-1416 |
| _version_ | 1811071312069656576 |
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| author | Etingof, Pavel I. Gelaki, Shlomo |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Etingof, Pavel I. Gelaki, Shlomo |
| author_sort | Etingof, Pavel I. |
| collection | MIT |
| description | Original manuscript February 5, 2012 |
| first_indexed | 2024-09-23T08:49:11Z |
| format | Article |
| id | mit-1721.1/79892 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:49:11Z |
| publishDate | 2013 |
| publisher | Oxford University Press |
| record_format | dspace |
| spelling | mit-1721.1/798922022-09-30T11:29:13Z Descent and Forms of Tensor Categories Etingof, Pavel I. Gelaki, Shlomo Massachusetts Institute of Technology. Department of Mathematics Etingof, Pavel I. Original manuscript February 5, 2012 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. National Science Foundation (U.S.) (Grant DMS-1000113) United States-Israel Binational Science Foundation (Grant 2008164) 2013-08-21T15:39:49Z 2013-08-21T15:39:49Z 2011-07 2011-02 Article http://purl.org/eprint/type/JournalArticle 1073-7928 1687-0247 http://hdl.handle.net/1721.1/79892 Etingof, P., and S. Gelaki. “Descent and Forms of Tensor Categories.” International Mathematics Research Notices (July 10, 2011). https://orcid.org/0000-0002-0710-1416 en_US http://dx.doi.org/10.1093/imrn/rnr119 International Mathematics Research Notices Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Oxford University Press arXiv |
| spellingShingle | Etingof, Pavel I. Gelaki, Shlomo Descent and Forms of Tensor Categories |
| title | Descent and Forms of Tensor Categories |
| title_full | Descent and Forms of Tensor Categories |
| title_fullStr | Descent and Forms of Tensor Categories |
| title_full_unstemmed | Descent and Forms of Tensor Categories |
| title_short | Descent and Forms of Tensor Categories |
| title_sort | descent and forms of tensor categories |
| url | http://hdl.handle.net/1721.1/79892 https://orcid.org/0000-0002-0710-1416 |
| work_keys_str_mv | AT etingofpaveli descentandformsoftensorcategories AT gelakishlomo descentandformsoftensorcategories |