Historical Review of Lie Theory
نویسنده
چکیده
1. The theory of Lie groups and their representations is a vast subject (Bourbaki [Bou] has so far written 9 chapters and 1,200 pages) with an extraordinary range of applications. Some of the greatest mathematicians and physicists of our times have created the tools of the subject that we all use. In this review I shall discuss briefly the modern development of the subject from its historical beginnings in the mid nineteenth century.
منابع مشابه
Arithmetic Deformation Theory of Lie Algebras
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متن کاملSome properties of nilpotent Lie algebras
In this article, using the definitions of central series and nilpotency in the Lie algebras, we give some results similar to the works of Hulse and Lennox in 1976 and Hekster in 1986. Finally we will prove that every non trivial ideal of a nilpotent Lie algebra nontrivially intersects with the centre of Lie algebra, which is similar to Philip Hall's result in the group theory.
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متن کاملReduction of Differential Equations by Lie Algebra of Symmetries
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تاریخ انتشار 2007