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Lie groups

Lie groups (16회 대출)

자료유형
단행본
개인저자
Duistermaat, J. J. (Johannes Jisse) , 1942-. Kolk, Johan A. C 1947-
서명 / 저자사항
Lie groups / Johannes J. Duistermaat, Johan A.C. Kolk.
발행사항
Berlin ;   New York :   Springer ,   c2000.  
형태사항
viii, 344 p. : ill. ; 24 cm.
총서사항
Universitext
ISBN
3540152938 (softcover)
서지주기
Includes bibliographical references and index.
일반주제명
Lie groups. Lie, Groupes de.
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100 1 ▼a Duistermaat, J. J. ▼q (Johannes Jisse) , ▼d 1942-.
245 1 0 ▼a Lie groups / ▼c Johannes J. Duistermaat, Johan A.C. Kolk.
260 ▼a Berlin ; ▼a New York : ▼b Springer , ▼c c2000.
300 ▼a viii, 344 p. : ▼b ill. ; ▼c 24 cm.
490 0 ▼a Universitext
504 ▼a Includes bibliographical references and index.
650 0 ▼a Lie groups.
650 7 ▼a Lie, Groupes de. ▼2 ram
700 1 ▼a Kolk, Johan A. C ▼d 1947-
938 ▼a Otto Harrassowitz ▼b HARR ▼n har000746884 ▼c 79.00 DEM
945 ▼a KINS

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.55 D875L 등록번호 121108193 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

Preface 1 Lie Groups and Lie Algebras 1.1 Lie Groups and their Lie Algebras 1.2 Examples 1.3 The Exponential Map 1.4 The Exponential Map for a Vector Space 1.5 The Tangent Map of Exp 1.6 The Product in Logarithmic Coordinates 1.7 Dynkin's Formula 1.8 Lie's Fundamental Theorems 1.9 The Component of the Identity 1.10 Lie Subgroups and Homomorphisms 1.11 Quotients 1.12 Connected Commutative Lie Groups 1.13 Simply Connected Lie Groups 1.14 Lie's Third Fundamental Theorem in Global Form 1.15 Exercises 1.16 Notes References for Chapter One 2 Proper Actions 2.1 Review 2.2 Bochner's Linearization Theorem 2.3 Slices 2.4 Associated Fiber Bundles 2.5 Smooth Functions on the Orbit Space 2.6 Orbit Types and Local Action Types 2.7 The Stratification by Orbit Types 2.8 Principal and Regular Orbits 2.9 Blowing Up 2.10 Exercises 2.11 Notes References for Chapter Two 3 Compact Lie Groups 3.0 Introduction 3.1 Centralizers 3.2 The Adjoint Action 3.3 Connectedness of Centralizers 3.4 The Group of Rotations and its Covering Group 3.5 Roots and Root Spaces 3.6 Compact Lie Algebras 3.7 Maximal Tori 3.8 Orbit Structure in the Lie Algebra 3.9 The Fundamental Group 3.10 The Weyl Group as a Reflection Group 3.11 The Stiefel Diagram 3.12 Unitary Groups 3.13 Integration 3.14 The Weyl Integration Theorem 3.15 Nonconnected Groups 3.16 Exercises 3.17 Notes References for Chapter Three 4 Representations of Compact Groups 4.0 Introduction 4.1 Schur's Lemma 4.2 Averaging 4.3 Matrix Coefficients and Characters 4.4 G-types 4.5 Finite Groups 4.6 The Peter-Weyl Theorem 4.7 Induced Representations 4.8 Reality 4.9 Weyl's Character Formula 4.10 Weight Exercises 4.11 Highest Weight Vectors 4.12 The Borel-Weil Theorem 4.13 The Nonconnected Case 4.14 Exercises 4.15 Notes References for Chapter Four Appendix A Appendix B Appendix


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