Poincaré's Proof of the so-called Birkhoff-Witt Theorem
| dc.creator | Ton-That, Tuong | |
| dc.creator | Tran, Thai-Duong | |
| dc.date | 1999-08-26 | |
| dc.date | 2000-04-27 | |
| dc.date.accessioned | 2026-07-07T05:30:30Z | |
| dc.date.available | 2026-07-07T05:30:30Z | |
| dc.description | A methodical analysis of the research related to the article, ``Sur les groupes continus'', of Henri Poincaré reveals many historical misconceptions and inaccuracies regarding his contribution to Lie theory. A thorough reading of this article confirms the precedence of his discovery of many important concepts, especially that of the \textit{universal enveloping algebra} of a Lie algebra over a field of characteristic zero, the \textit{% canonical map} (\textit{symmetrization}) of the symmetric algebra onto the universal enveloping algebra. The essential part of this article consists of a detailed discussion of his rigorous, complete, and enlightening proof of the so-called Birkhoff-Witt theorem. | |
| dc.description | 28 pages; Latex in Scientific Word; use Tcilatex.tex. Revue d'Histoire des Mathe'matiques, Soc. Math. France (to appear in 2000) | |
| dc.identifier | https://arxiv.org/abs/math/9908139 | |
| dc.identifier | http://arxiv.org/abs/math/9908139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79012 | |
| dc.subject | History and Overview | |
| dc.title | Poincaré's Proof of the so-called Birkhoff-Witt Theorem | |
| dc.type | text |