Lie groups

丛 书 名：Graduate texts in mathematics =

版本说明：影印本

作     者：邦普 

I S B N：(纸本) 9787519212711 

出 版 社：世界图书出版公司 

出 版 年：2016年

页      数：xiii, 551页页

主 题 词：李群 

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

摘      要：This book is intended for a one year graduate course on Lie groups and Lie algebras. The author proceeds beyond the representation theory of compact Lie groups (which is the basis of many texts) and provides a carefully chosen range of material to give the student the bigger picture. For compact Lie groups, the Peter-Weyl theorem, conjugacy of maximal tori (two proofs), Weyl character formula and more are covered. The book continues with the study of complex analytic groups, then general noncompact Lie groups, including the Coxeter presentation of the Weyl group, the Iwasawa and Bruhat decompositions, Cartan decomposition, symmetric spaces, Cayley transforms, relative root systems, Satake diagrams, extended Dynkin diagrams and a survey of the ways Lie groups may be embedded in one anothe