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1.

電子ブック
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1. Group theoretical methods and applications to molecules and crystals / ((ebook))
Shoon K. Kim
出版情報:   1 online resource (xvi, 492 p.)
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目次情報: 続きを見る
Preface
List of symbols
Linear transformations / 1：
Theory of matrix transformations / 2：
Elements of abstract group theory / 3：
Unitary and orthogonal groups / 4：
The point groups of finite order / 5：
Theory of group representations / 6：
Construction of symmetry adapted linear combinations based on the correspondence theorem / 7：
Subduced and induced representations / 8：
Elements of continuous groups / 9：
The representations of the rotation group / 10：
Single- and double-valued representations of point groups / 11：
Projective representations / 12：
230 space groups / 13：
The representations of space groups / 14：
The unirreps of the space groups to energy bands and vibrational modes of crystals / 15：
Time reversal, antiunitary point groups and their core presentations / 16：
Antiunitary space groups and their core presentations / 17：
Appendix: Character tables for the crystal point groups
References
Character tables for the crystal point groups / Appendix：
Appendix
Preface
List of symbols
Linear transformations / 1：
2.

電子ブック
ＥＢ
2. Applications of group theory to atoms, molecules, and solids ((ebook))
Thomas Wolfram, Şinasi Ellialtioğlu
出版情報:   1 online resource (xii, 471 p.)
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3.

電子ブック
ＥＢ
3. Symmetry in inorganic and coordination compounds : a student's guide to understanding electronic structure (: electronic bk)
Franca Morazzoni
出版情報: [Cham] : SpringerLink, [20--]  1 online resource (xvii, 185 p.)
シリーズ名: Lecture notes in chemistry ; 106
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4.

電子ブック
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4. From groups to geometry and back (: electronic bk)
Vaughn Climenhaga, Anatole Katok
出版情報: [Ann Arbor, Mich.] : ProQuest Ebook Central , [Providence, R.I.] : American Mathematical Society, [20--]  1 online resource (xix, 420 p.)
シリーズ名: Student mathematical library ; v. 81
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5.

電子ブック
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5. Lie groups, physics, and geometry : : an introduction for physicists, engineers and chemists (: electronic bk)
Robert Gilmore
出版情報:   1 online resource (xi, 319 p.)
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目次情報: 続きを見る
Introduction / 1：
Lie groups / 2：
Matrix groups
Lie algebras / 4：
Matrix algebras / 5：
Operator algebras / 6：
Exponentiation / 7：
Structure theory for Lie algebras / 8：
Structure theory for simple Lie algebras / 9：
Root spaces and Dykin diagrams / 10：
Real forms / 11：
Riemannian symmetric spaces / 12：
Contraction / 13：
Hydrogenic atoms / 14：
Maxwell's equations / 15：
Lie groups and differential equations / 16：
References
Index
Preface
The program of Lie / 1.1：
A result of Galois / 1.2：
Group theory background / 1.3：
Approach to solving polynomial equations / 1.4：
Solution of the quadratic equation / 1.5：
Solution of the cubic equation / 1.6：
Solution of the quartic equation / 1.7：
The quintic cannot be solved / 1.8：
Example / 1.9：
Conclusion / 1.10：
Problems / 1.11：
Algebraic properties / 2.1：
Topological properties / 2.2：
Unification of algebra and topology / 2.3：
Unexpected simplification / 2.4：
Preliminaries / 2.5：
No constraints / 3.2：
Linear constraints / 3.3：
Bilinear and quadratic constraints / 3.4：
Multilinear constraints / 3.5：
Intersections of groups / 3.6：
Embedded groups / 3.7：
Modular groups / 3.8：
Why bother? / 3.9：
How to linearize a Lie group / 4.2：
Inversion of the linearization map: EXP / 4.3：
Properties of a Lie algebra / 4.4：
Structure constants / 4.5：
Regular representation / 4.6：
Structure of a Lie algebra / 4.7：
Inner product / 4.8：
Invariant metric and measure on a Lie group / 4.9：
Algebras of embedded groups / 4.10：
Basis vectors / 5.8：
Boson operator algebras / 5.10：
Fermion operator algebras / 6.2：
First order differential operator algebras / 6.3：
EXPonentiation / 6.4：
The covering problem / 7.1：
The isomorphism problem and the covering group / 7.3：
The parameterization problem and BCH formulas / 7.4：
EXPonentials and physics / 7.5：
Some standard forms for the regular representation / 7.6：
What these forms mean / 8.3：
How to make this decomposition / 8.4：
An example / 8.5：
Objectives of this program / 8.6：
Eigenoperator decomposition - secular equation / 9.2：
Rank / 9.3：
Invariant operators / 9.4：
Regular elements / 9.5：
Semisimple Lie algebras / 9.6：
Canonical commutation relations / 9.7：
Root spaces and Dynkin diagrams / 9.8：
Properties of roots / 10.1：
Root space diagrams / 10.2：
Dynkin diagrams / 10.3：
Compact and least compact real forms / 10.4：
Cartan's procedure for constructing real forms / 11.3：
Real forms of simple matrix Lie algebras / 11.4：
Results / 11.5：
Brief review / 11.6：
Globally symmetric spaces / 12.2：
Metric and measure / 12.3：
Applications and examples / 12.6：
Pseudo-Riemannian symmetric spaces / 12.7：
Inonu-Wigner contractions / 12.8：
Simple examples of Inonu-Wigner contractions / 13.3：
The contraction U(2) to H[subscript 4] / 13.4：
Two important principles of physics / 13.5：
The wave equations / 14.3：
Quantization conditions / 14.4：
Geometric symmetry SO(3) / 14.5：
Dynamical symmetry SO(4) / 14.6：
Relation with dynamics in four dimensions / 14.7：
DeSitter symmetry SO(4, 1) / 14.8：
Conformal symmetry SO(4, 2) / 14.9：
Spin angular momentum / 14.10：
Spectrum generating group / 14.11：
Maxwell's equations / 14.12：
Review of the inhomogeneous Lorentz group / 15.1：
Subgroups and their representations / 15.3：
Representations of the Poincare group / 15.4：
Transformation properties / 15.5：
The simplest case / 15.6：
First order equations / 16.2：
Additional insights / 16.3：
Bibliography / 16.5：
Introduction / 1：
Lie groups / 2：
Matrix groups
6.

電子ブック
ＥＢ
6. Groups, languages, and automata (: electronic bk)
Derek F. Holt, University of Warwick, Sarah Rees, University of Newcastle upon Tyne, Claas E. Röver, National University of Ireland, Galway
出版情報:   1 online resource (xi, 294 p.)
シリーズ名: London Mathematical Society student texts ; 88
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7.

電子ブック
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7. An introduction to groups and their matrices for science students / ((ebook))
Robert Kolenkow
出版情報:   1 online resource (xiii, 322 pages)
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目次情報:
8.

電子ブック
ＥＢ
8. Algebraic groups : : the theory of group schemes of finite type over a field ((ebook))
J. S. Milne
出版情報:   1 online resource (xvi, 644 pages)
シリーズ名: Cambridge studies in advanced mathematics ; 170
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