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1.

図書
図書
1. Lie groups, Lie algebras, and some of their applications
Robert Gilmore
出版情報: New York : Wiley, c1974  xx, 587 p. ; 23 cm
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2.

図書
図書
2. Lie groups and Lie algebras (pt. 1: chapters 1-3 : us ; pt. 1: chapters 1-3 : fr)
Nicolas Bourbaki
出版情報: Paris : Hermann , Reading, Mass. : Addison-Wesley, c1975-  v. ; 24 cm
シリーズ名: Actualités scientifiques et industrielles ; . Elements of mathematics
Adiwes international series in mathematics
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3.

図書
図書
3. Introduction to compact transformation groups
Glen E. Bredon
出版情報: New York : Academic Press, 1972  xiii, 459 p. ; 23 cm
シリーズ名: Pure and applied mathematics ; v. 46
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4.

図書
図書
4. Discrete subgroups of Lie groups (: us ; : gw)
[by] M.S. Raghunathan
出版情報: New York ; Berlin : Springer-Verlag, 1972  viii, 226 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 68
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5.

図書
図書
5. Differential geometry, Lie groups, and symmetric spaces
Sigurdur Helgason
出版情報: New York : Academic Press, c1978  xv, 628 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 80
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目次情報: 続きを見る
Elementary Differential Geometry
Lie Groups and Lie Algebras
Structure of Semisimple Lie Algebras
Symmetric Spaces
Decomposition of Symmetric Spaces
Symmetric Spaces of the Noncompact Type
Symmetric Spaces of the Compact Type
Hermitian Symmetric Spaces
Structure of Semisimple Lie Groups
The Classification of Simple Lie Algebras and of Symmetric Spaces
Solutions to Exercises
Some Details
Bibliography
List of Notational Conventions
Symbols Frequently Used
Index
Elementary Differential Geometry
Lie Groups and Lie Algebras
Structure of Semisimple Lie Algebras
6.

図書
図書
6. Symmetry groups and their applications
Willard Miller, Jr.
出版情報: New York : Academic Press, 1972  x, 432 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 50
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7.

図書
図書
7. Linear analysis and representation theory (: gw ; : us)
Steven A. Gaal
出版情報: Berlin ; New York : Springer-Verlag, 1973  ix, 688 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 198
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8.

図書
図書
8. General theory
by Antonio Kumpera and Donald Spencer
出版情報: Princeton, N.J. : Princeton University Press , Tokyo : University of Tokyo Press, 1972  xv, 293 p. ; 24 cm
シリーズ名: Annals of mathematics studies ; no. 73 . Lie equations / by Antonio Kumpera and Donald Spencer ; v. 1
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9.

図書
図書
9. Introduction to the theory of formal groups
J. Dieudonné
出版情報: New York : M. Dekker, 1973  xii, 265 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 20
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10.

図書
図書
10. Lie groups, Lie algebras, and their representations
[by] V.S. Varadarajan
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, [1974]  xiii, 430 p. ; 24 cm
シリーズ名: Prentice-Hall series in modern analysis
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11.

図書
図書
11. Symmetric spaces : short courses presented at Washington University
edited by William M. Boothby and Guido L. Weiss
出版情報: New York : M. Dekker, 1972  xiii, 487 p. ; 23 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 8
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12.

図書
図書
12. Introduction to affine algebraic groups
G. Hochschild
出版情報: San Francisco : Holden-Day, c1971  vii, 116 p. ; 24 cm
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13.

図書
図書
13. Harmonic analysis on homogeneous spaces
[edited by Calvin C. Moore]
出版情報: Providence, R.I. : American Mathematical Society, 1973  x, 467 p ; 26 cm
シリーズ名: Proceedings of symposia in pure mathematics ; v. 26
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14.

図書
図書
14. Physical aspects of Lie group theory
Robert Hermann
出版情報: Montréal : Presses de l'Université de Montréal, 1974  271 p. ; 25 cm
シリーズ名: Collection de la Chaire Aisenstadt
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15.

図書
図書
15. Systems of partial differential equations and Lie pseudogroups
J.F. Pommaret ; with a preface by André Lichnerowicz
出版情報: New York : Gordon and Breach Science Publishers, c1978  xiv, 411 p. ; 24 cm
シリーズ名: Mathematics and its applications ; v. 14
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16.

図書
図書
16. Differentiable manifolds
Yozo Matsushima ; translated by E.T. Kobayashi
出版情報: New York : M. Dekker, 1972  vii, 303 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 9
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17.

図書
図書
17. Classical groups for physicists
Brian G. Wybourne
出版情報: New York : Wiley, c1974  xvi, 415 p. ; 23 cm
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18.

図書
図書
18. Foundations of differentiable manifolds and Lie groups
Frank W. Warner
出版情報: Glenview, Ill. : Scott, Foresman, c1971  270 p. ; 24 cm
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19.

図書
図書
19. Differential geometry, Lie groups, and symmetric spaces
Sigurdur Helgason
出版情報: Orlando : Academic Press, c1978  xv, 634 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 80
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目次情報: 続きを見る
Elementary Differential Geometry
Lie Groups and Lie Algebras
Structure of Semisimple Lie Algebras
Symmetric Spaces
Decomposition of Symmetric Spaces
Symmetric Spaces of the Noncompact Type
Symmetric Spaces of the Compact Type
Hermitian Symmetric Spaces
Structure of Semisimple Lie Groups
The Classification of Simple Lie Algebras and of Symmetric Spaces
Solutions to Exercises
Some Details
Bibliography
List of Notational Conventions
Symbols Frequently Used
Index
Elementary Differential Geometry
Lie Groups and Lie Algebras
Structure of Semisimple Lie Algebras
20.

図書
図書
20. Compact Lie groups and their representations
by D. P. Želobenko ; [Translated from the Russian by Israel Program for Scientific Translations]
出版情報: Providence, R.I. : American Mathematical Society, 1973  viii, 448 p ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 40
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目次情報: 続きを見る
Introduction / Part I：
Topological groups
Lie groups
Linear groups
Fundamental problems of representation theory
Elementary theory: Compact Lie groups global theorem / Part II：
The infinitesimal method in representation theory
Analytic continuation
Irreducible representations of the group $\mathrm {U}(n)$
Tensors and Young diagrams Casimir operators
Indicator systems and the Gelfand-Cetlin basis
Characters Tensor product of two irreducible representations of $\mathrm {U}(n)$
General theory: Basic types of Lie algebras and Lie groups / Part III：
Classification of compact and reductive
Lie algebras
Compact Lie groups in the large Description of irreducible finite-dimensonal representations Infinitesimal theory (characters, weights, Casimir operators)
Some problems of spectral analysis for finite-dimensional representations
On infinite-dimensional representations of semisimple complex Lie groups / Appendix I：
Elements of the general theory of unitary representations of locally compact groups / Appendix II：
Unitary symmetry in the class of elementary particles / Appexdix III：
References
Subject
Index
Introduction / Part I：
Topological groups
Lie groups
21.

図書
図書
21. SL[2](R)
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., c1975  xvi, 428 p. ; 25 cm
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22.

図書
図書
22. Topics in harmonic analysis, related to the Littlewood-Paley theory
by Elias M. Stein
出版情報: Princeton, N.J. : Princeton University Press , Tokyo : University of Tokyo Press, 1970  viii, 146 p. ; 24 cm
シリーズ名: Annals of mathematics studies ; no. 63
Tokyo University international edition ; no. 49
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23.

図書
図書
23. Harmonic analysis on homogeneous spaces
[by] Nolan R. Wallach
出版情報: New York : M. Dekker, 1973  xiv, 361 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 19
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