On maps preserving some identities on nonassociative algebraic structures
Sufficient conditions for isomorphism between isotopes of nonassociative algebras
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] IPN, Dept Matemat, CINVESTAV, Apartado Postal 14-740, Mexico City 07000, DF - Mexico
[2] Univ La Rioja, Dept Matemat & Computac, Logrono 26004 - Spain
[3] Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66281, BR-05311970 Sao Paulo, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 145, n. 12, p. 5109-5122, DEC 2017. |
| Web of Science Citations: | 3 |
| Abstract | |
We address the problem of constructing the non-associative version of the Dynkin form of the Baker-Campbell-Hausdorff formula; that is, expressing log(exp(x) exp(y)), where x and y are non-associative variables, in terms of the Shestakov-Umirbaev primitive operations. In particular, we obtain a recursive expression for the Magnus expansion of the Baker-Campbell-Hausdorff series and an explicit formula in degrees smaller than 5. Our main tool is a non-associative version of the Dynkin-Specht-Wever Lemma. A construction of Bernouilli numbers in terms of binary trees is also recovered. (AU) | |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |