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Matrix groups 2nd ed

Matrix groups 2nd ed (5회 대출)

Curtis, Morton Landers , 1921-.
서명 / 저자사항
Matrix groups / Morton L. Curtis.
2nd ed.
New York :   Springer-Verlag ,   c1984.  
x, 209 p. ; 24 cm.
0387960740 (pbk.)
Includes bibliographical references (p. [203]) and index.
Matrix groups.
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001 000045186318
005 20071217133437
008 840813s1984 nyu b 001 0 eng d
020 ▼a 0387960740 (pbk.)
040 ▼d 244002 ▼d 211009
082 0 4 ▼a 512/.2 ▼2 22
090 ▼a 512.2 ▼b C979m2
100 1 ▼a Curtis, Morton Landers , ▼d 1921-.
245 1 0 ▼a Matrix groups / ▼c Morton L. Curtis.
250 ▼a 2nd ed.
260 ▼a New York : ▼b Springer-Verlag , ▼c c1984.
300 ▼a x, 209 p. ; ▼c 24 cm.
490 0 ▼a Universitext
504 ▼a Includes bibliographical references (p. [203]) and index.
650 0 ▼a Matrix groups.


No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 세종학술정보원/과학기술실/ 청구기호 512.2 C979m2 등록번호 151181570 도서상태 대출가능 반납예정일 예약 서비스 B M



1 General Linear Groups.- A. Groups.- B. Fields, Quaternions.- C. Vectors and Matrices.- D. General Linear Groups.- E. Exercises.- 2 Orthogonal Groups.- A. Inner Products.- B. Orthogonal Groups.- C. The Isomorphism Question.- D. Reflections in ?n.- E. Exercises.- 3 Homomorphisms.- A. Curves in a Vector Space.- B. Smooth Homomorphisms.- C. Exercises.- 4 Exponential and Logarithm.- A. Exponential of a Matrix.- B. Logarithm.- C. One-parameter Subgroups.- D. Lie Algebras.- E. Exercises.- 5 SO(3) and Sp(1).- A. The Homomorphism ?: S3?SO(3).- B. Centers.- C. Quotient Groups.- D. Exercises.- 6 Topology.- A. Introduction.- B. Continuity of Functions, Open Sets, Closed Sets.- C. Connected Sets, Compact Sets.- D. Subspace Topology, Countable Bases.- E. Manifolds.- F. Exercises.- 7 Maximal Tori.- A. Cartesian Products of Groups.- B. Maximal Tori in Groups.- C. Centers Again.- D. Exercises.- 8 Covering by Maximal Tori.- A. General Remarks.- B. (+) for U(n) and SU(n).- C. (+) for SO(n).- D. (+) for Sp(n).- E. Reflections in ?n (again).- F. Exercises.- 9 Conjugacy of Maximal Tori.- A. Monogenic Groups.- B. Conjugacy of Maximal Tori.- C. The Isomorphism Question Again.- D. Simple Groups, Simply-Connected Groups.- E. Exercises.- 10 Spin(k).- A. Clifford Algebras.- B. Pin(k) and Spin(k).- C. The Isomorphisms.- D. Exercises.- 11 Normalizers, Weyl Groups.- A. Normalizers.- B. Weyl Groups.- C. Spin(2n+1) and Sp(n).- D. SO(n) Splits.- E. Exercises.- 12 Lie Groups.- A. Differentiable Manifolds.- B. Tangent Vectors, Vector Fields.- C. Lie Groups.- D. Connected Groups.- E. Abelian Groups.- 13.- A. Maximal Tori.- B. The Anatomy of a Reflection.- C. The Adjoint Representation.- D. Sample Computation of Roots.- Appendix 1.- Appendix 2.- References.- Supplementary Index (for Chapter 13).

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