Simple Lie rings of Morley rank 4 (The Spanish Inquisition)
We prove the Lie ring equivalent of the Cherlin-Zilber conjecture • in characteristic 0, for any rank and • in characteristic ≠2,3, for rank ⩽4. Both are notoriously open in the group case.
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| Published in | Journal of algebra Vol. 651; pp. 243 - 280 |
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| Format | Journal Article |
| Language | English |
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01.08.2024
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| Abstract | We prove the Lie ring equivalent of the Cherlin-Zilber conjecture • in characteristic 0, for any rank and • in characteristic ≠2,3, for rank ⩽4. Both are notoriously open in the group case. |
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| AbstractList | We prove the Lie ring equivalent of the Cherlin-Zilber conjecture • in characteristic 0, for any rank and • in characteristic ≠2,3, for rank ⩽4. Both are notoriously open in the group case. We prove the Lie ring equivalent of the Cherlin-Zilber conjecture • in characteristic 0, for any rank and • in characteristic ≠ 2, 3, for rank ⩽4. Both are notoriously open in the group case. |
| Author | Deloro, Adrien Tindzogho Ntsiri, Jules |
| Author_xml | – sequence: 1 givenname: Adrien surname: Deloro fullname: Deloro, Adrien email: adrien.deloro@imj-prg.fr organization: Institut de Mathématiques de Jussieu - Paris Rive Gauche, Sorbonne Université and Université Paris Cité, CNRS, IMJ-PRG, F-75005 Paris, France – sequence: 2 givenname: Jules surname: Tindzogho Ntsiri fullname: Tindzogho Ntsiri, Jules organization: Department of Mathematics and Informatics, Faculty of Sciences, Masuku University of Science and Technology (USTM), Franceville, Gabon |
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| Cites_doi | 10.1090/S0894-0347-96-00180-4 10.1515/jgth.2005.8.5.623 10.1017/S0027763000011016 10.1090/S0002-9947-96-01623-6 10.1006/jabr.2000.8302 10.2140/iig.2009.9.123 10.1016/0168-0072(89)90058-4 10.1002/malq.19750210145 10.2307/2274432 10.2178/jsl/1174668392 10.1023/A:1015157631442 10.1016/0021-8693(88)90216-5 10.2178/bsl/1231081770 10.1080/00927872.2014.900690 10.1016/j.jalgebra.2003.12.027 10.1007/s00029-007-0030-z 10.1007/s10468-017-9671-6 10.2307/1970833 10.1017/S1474748008000091 10.1016/j.aim.2003.11.005 10.1002/malq.201600021 10.2140/pjm.2016.285.111 |
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| Keywords | Cherlin-Zilber conjecture Modular Lie algebras Morley rank |
| Language | English |
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| Snippet | We prove the Lie ring equivalent of the Cherlin-Zilber conjecture • in characteristic 0, for any rank and • in characteristic ≠2,3, for rank ⩽4. Both are... We prove the Lie ring equivalent of the Cherlin-Zilber conjecture • in characteristic 0, for any rank and • in characteristic ≠ 2, 3, for rank ⩽4. Both are... |
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| SubjectTerms | Cherlin-Zilber conjecture Mathematics Modular Lie algebras Morley rank |
| Title | Simple Lie rings of Morley rank 4 (The Spanish Inquisition) |
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