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Lie groups

著者: J J Duistermaat; Johan A C Kolk
出版社: Berlin ; New York : Springer, ©2000.
シリーズ: Universitext.
エディション/フォーマット:   紙書籍 : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
"This is a (post)graduate textbook an Lie groups and Lie algebras. Its aim is to give a broad introduction to the field with an emphasis on using differential-geometrical methods, in the spirit of Lie himself. The structure of compact Lie groups is analyzed in terms of the action of the group on itself by conjugation. The book culminates in the classification of the representations of compact Lie groups and in their  続きを読む
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資料の種類: インターネット資料
ドキュメントの種類 書籍, インターネット資料
すべての著者/寄与者: J J Duistermaat; Johan A C Kolk
ISBN: 3540152938 9783540152934
OCLC No.: 42619683
物理形態: viii, 344 pages : illustrations ; 24 cm.
コンテンツ: 1. Lie Groups and Lie Algebras. Lie Groups and their Lie Algebras. Examples. The Exponential Map. The Exponential Map for a Vector Space. The Tangent Map of Exp. The Product in Logarithmic Coordinates. Dynkin's Formula. Lie's Fundamental Theorems. The Component of the Identity. Lie Subgroups and Homomorphisms. Quotients. Connected Commutative Lie Groups. Simply Connected Lie Groups. Lie's Third Fundamental Theorem in Global Form --
2. Proper Actions. Review. Bochner's Linearization Theorem. Slices. Associated Fiber Bundles. Smooth Functions on the Orbit Space. Orbit Types and Local Action Types. The Stratification by Orbit Types. Principal and Regular Orbits. Blowing Up --
3. Compact Lie Groups. Centralizers. The Adjoint Action.
シリーズタイトル: Universitext.
責任者: Johannes J. Duistermaat, Johan A.C. Kolk.
その他の情報

概要:

It analyzes the structure of compact Lie groups in terms of the action of the group on itself by conjugation, culminating in the classification of the representations of compact Lie groups and their  続きを読む

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From the reviews:"This one is worth to read and to keep on your shelf! It presents the theory of Lie groups not only in the usual way of Lie algebraic treatment, but also from the global point of 続きを読む

 
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