現代数学の系譜11 ガロア理論を読む9at MATH
現代数学の系譜11 ガロア理論を読む9 - 暇つぶし2ch116:132人目の素数さん
14/08/24 09:08:52.36
>>115 つづき 狸さんのおかげで連投規定をクリアーしたので先に進む

>マリウス・ソフス・リー(Marius Sophus Lie, 1842年12月17日 - 1899年2月18日)は、ノルウェーの数学者[1]。

英語版が詳しい
URLリンク(en.wikipedia.org)
Legacy
Lie's principal tool, and one of his greatest achievements, was the discovery that continuous transformation groups (now called, after him, Lie groups) could be better understood by "linearizing" them,
and studying the corresponding generating vector fields (the so-called infinitesimal generators).
The generators are subject to a linearized version of the group law, now called the commutator bracket, and have the structure of what is today called a Lie algebra.[2][3]

Hermann Weyl used Lie's work on group theory in his papers from 1922 and 1923, and Lie groups today play a role in quantum mechanics.[3]
However, the subject of Lie groups as it is studied today is vastly different from what the research by Sophus Lie was about and “among the 19th century masters, Lie's work is in detail certainly the least known today”.[4]


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