Cover for Applications of Finite Groups

Applications of Finite Groups

Book1959

Authors:

J.S. Lomont

Applications of Finite Groups

Book1959

 

Cover for Applications of Finite Groups

Authors:

J.S. Lomont

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Book description

Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecu ... read full description

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  2. Book chapterAbstract only

    Chapter I - MATRICES

    Pages 1-16

  3. Book chapterAbstract only

    Chapter II - GROUPS

    Pages 17-45

  4. Book chapterAbstract only

    Chapter III - REPRESENTATIONS

    Pages 46-91

  5. Book chapterAbstract only

    Chapter IV - APPLICATIONS

    Pages 92-218

  6. Book chapterAbstract only

    Chapter V - SUBGROUPS AND REPRESENTATIONS

    Pages 219-235

  7. Book chapterAbstract only

    CHAPTER VI - SPACE GROUP REPRESENTATIONS AND ENERGY BANDS

    Pages 236-257

  8. Book chapterAbstract only

    Chapter VII - SYMMETRIC GROUPS

    Pages 258-273

  9. Book chapterAbstract only

    Chapter VIII - APPLICATIONS

    Pages 274-298

  10. Book chapterNo access

    REFERENCES

    Pages 299-307

  11. Book chapterNo access

    Appendix I - PROOF OF THE KEY THEOREM OF REPRESENTATION THEORY

    Pages 308-311

  12. Book chapterNo access

    Appendix II - IRREDUCIBLE REPRESENTATIONS OF D3, D4, D6, T, O, AND ℐ

    Pages 312-314

  13. Book chapterNo access

    Appendix III - THE LORENTZ GROUPS

    Pages 315-339

  14. Book chapterNo access

    SUBJECT INDEX

    Pages 341-346

About the book

Description

Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecular structures. The book first elaborates on matrices, groups, and representations. Topics include abstract properties, applications, matrix groups, key theorem of representation theory, properties of character tables, simply reducible groups, tensors and invariants, and representations generated by functions. The text then examines applications and subgroups and representations, as well as subduced and induced representations, fermion annihilation and creation operators, crystallographic point groups, proportionality tensors in crystals, and nonrelativistic wave equations. The publication takes a look at space group representations and energy bands, symmetric groups, and applications. Topics include molecular and nuclear structures, multiplet splitting in crystalline electric fields, construction of irreducible representations of the symmetric groups, and reality of representations. The manuscript is a dependable source of data for physicists and researchers interested in the applications of finite groups.

Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecular structures. The book first elaborates on matrices, groups, and representations. Topics include abstract properties, applications, matrix groups, key theorem of representation theory, properties of character tables, simply reducible groups, tensors and invariants, and representations generated by functions. The text then examines applications and subgroups and representations, as well as subduced and induced representations, fermion annihilation and creation operators, crystallographic point groups, proportionality tensors in crystals, and nonrelativistic wave equations. The publication takes a look at space group representations and energy bands, symmetric groups, and applications. Topics include molecular and nuclear structures, multiplet splitting in crystalline electric fields, construction of irreducible representations of the symmetric groups, and reality of representations. The manuscript is a dependable source of data for physicists and researchers interested in the applications of finite groups.

Details

ISBN

978-1-4832-3132-7

Language

English

Published

1959

Copyright

Copyright © 1959 Elsevier Inc. All rights reserved.

Imprint

Academic Press

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Authors

J.S. Lomont

Institute of Mathematical Sciences, New York University