Name: Complex Semisimple Lie Algebras
ISBN: 9780387965697

作者: [法] Jean-Pierre Serre
出版社: Springer Verlag
译者: G·a·Jones
出版年: 1987-10
页数: 74
定价: $ 50.79
装帧: Pap
ISBN: 9780387965697

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内容简介 · · · · · ·

These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers including the basic classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and representation t...

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Definition 1. A Lie algebra g is said to be nilpotent if there exists an integer n such that C^n g = O. (查看原文)

[已注销] 2012-09-04 14:37:58

—— 引自第13页
Theorem 8 (H. Weyl). Every (finite-dimensional) linear representation of a semisimple algebra is completely reducible. (查看原文)

[已注销] 2012-09-04 14:44:41

—— 引自第20页