Some proofs of the Poincaré-Birkhoff-Witt theorem and related matters
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866911964247097344 |
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| author | Lakos, Gyula |
| author_facet | Lakos, Gyula |
| contents | This expository paper focuses on free Lie $K$-algebras and the basic PBW theorem. We argue in various ways that the basic PBW theorem is a quite close consequence of the Magnus-Witt theorems concerning free Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1812_04896 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Some proofs of the Poincaré-Birkhoff-Witt theorem and related matters Lakos, Gyula Rings and Algebras Primary: 17B35. Secondary: 17B01, 16S30 This expository paper focuses on free Lie $K$-algebras and the basic PBW theorem. We argue in various ways that the basic PBW theorem is a quite close consequence of the Magnus-Witt theorems concerning free Lie algebras. |
| title | Some proofs of the Poincaré-Birkhoff-Witt theorem and related matters |
| topic | Rings and Algebras Primary: 17B35. Secondary: 17B01, 16S30 |
| url | https://arxiv.org/abs/1812.04896 |