Invariant theory of a class of infinite-dimensional groups.
Poincaré’s proof of the co-called Birkhoff-Witt theorem
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 priority of his discovery of many important concepts, especially that of the of a Lie algebra over the real or complex field, and the () of the symmetric algebra onto the universal enveloping algebra. The essential part of this article consists...
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