The symmetric Poincaré-Birkhoff-Witt theorem and Dynkin-Magnus commutators
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909272683577344 |
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| author | Lakos, Gyula |
| author_facet | Lakos, Gyula |
| contents | The objective of this paper is to give alternative proofs for the symmetric Poincaré-Birkhoff-Witt theorem utilizing the Magnus recursion formulae or Dynkin's non-commutative polynomial comparison method and simple universal algebraic principles. As an application of these principles, a theorem of Nouazé-Revoy type is also obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20033 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The symmetric Poincaré-Birkhoff-Witt theorem and Dynkin-Magnus commutators Lakos, Gyula Rings and Algebras Primary: 17B35. Secondary: 17B01, 16S30 The objective of this paper is to give alternative proofs for the symmetric Poincaré-Birkhoff-Witt theorem utilizing the Magnus recursion formulae or Dynkin's non-commutative polynomial comparison method and simple universal algebraic principles. As an application of these principles, a theorem of Nouazé-Revoy type is also obtained. |
| title | The symmetric Poincaré-Birkhoff-Witt theorem and Dynkin-Magnus commutators |
| topic | Rings and Algebras Primary: 17B35. Secondary: 17B01, 16S30 |
| url | https://arxiv.org/abs/2407.20033 |