作者简介: Theodor Brocker,Tammo tom Dieck是德国有名数学家,写有多部著作,本书是数学研究生丛书之98卷。 内容简介: 这本书是基于作者1966年以来的讲义撰写而成,主要介绍紧李群理论。该书主要由六部分组成,每部分又有不同的章节构成,每章最后还有让读者自测的小练习。目次:李群和李代数;理论的基本表示;代表性的函数;紧李群的优选圆环体;根的形式;不可约的字符和变量;字符索引。读者对象:大学高年级本科生,低年级研究生。 目录: CHAPTER Ⅰ Lie Groups and Lie Algebras 1.The Concept of a Lie Group and the Classical Examples 2.Left—Invariant Vector Fields and One—Parameter Groups 3.The Exponential Map 4.Homogeneous Spaces and Quotient Groups 5.Invariant Integration 6.Clifford Algebras and Spinor Groups CHAPTER Ⅱ Elementary Representation Theory 1.Representations 2.Semisimple Modules 3.Linear Algebra and Representations 4.Characters and Ortho Sonality Relations 5.Representations of SU(2), SO(3), U(2), and O(3). 6.Real and Quaternionic Representations 7.The Character Ring and the Representation Ring 8.Representation of Abelian Groups 9.Representations of Lie Algebras 10.The Lie Algebra sl(2,C) CHAPTER ...
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