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• Title:Group theory : a physicist's survey / Pierre Ramond.
  
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• Author/Creator:Ramond, Pierre, 1943-
  
• Published/Created:Cambridge ; New York : Cambridge University Press, 2010.
  

• Holdings

  Holdings Record Display

  • Location:MAA LIBRARY (IKB) stacksWhere is this?
    
  • Call Number: QC20.7.G76 R36 2010
    
  • Number of Items:1
    
  • Status:c.1 Missing - 02-04-2016
    
  • Links:Donor bookplate
    

  • Location:OKANAGAN LIBRARY stacksWhere is this?
    
  • Call Number: QC20.7.G76 R36 2010
    
  • Number of Items:1
    
  • Status:Available
    

   
• Library of Congress Subjects:Group theory.
  
• Description:ix, 310 p. : ill ; 26 cm.
  
• Notes:Includes bibliographical references and index.
  
• ISBN:9780521896030 (hbk.)
  0521896037 (hbk.)
  
• Contents:1. Preface: the pursuit of symmetries
  2. Finite groups: an introduction
  2.1. Group axioms
  2.2. Finite groups of low order
  2.3. Permutations
  2.4. Basic concepts
  2.4.1. Conjugation
  2.4.2. Simple groups
  2.4.3. Sylow's criteria
  2.4.4. Semi-direct product
  2.4.5. Young Tableaux
  3. Finite groups: representations
  3.1. Introduction
  3.2. Schur's lemmas
  3.3. AA character table
  3.4. Kronecker products
  3.5. Real and complex representations
  3.6. Embeddings
  3.7. Zn character table
  3.8. Dn character table
  3-9. Q2n character table
  3.10. Some semi-direct products
  3.11. Induced representations
  3.12. Invariants
  3.13. Coverings
  4. Hilbert spaces
  4.1. Finite Hilbert spaces
  4.2. Fermi oscillators
  4.3. Infinite Hilbert spaces
  5. SU(2)
  5.1. Introduction
  5.2. Some representations
  5.3. From Lie algebras to Lie groups
  5.4. St/(2) → SU(1, 1)
  5.5. Selected St/(2) applications
  5.5.1. isotropic harmonic oscillator
  5.5.2. Bohr atom
  5.5.3. Isotopic spin
  6. St/(3)
  6.1. SU(3) algebra
  6.2. α-Basis
  6.3. Ω-Basis
  6.4. α-Basis
  6.5. triplet representation
  6.6. Chevalley basis
  6.7. SU(3) in physics
  6.7.1. isotropic harmonic oscillator redux
  6.7.2. Elliott model
  6.7.3. Sakata model
  6.7.4. Eightfold Way
  7. Classification of compact simple Lie algebras
  7.1. Classification
  7.2. Simple roots
  7.3. Rank-two algebras
  7.4. Dynkin diagrams
  7.5. Orthonormal bases
  8. Lie algebras: representation theory
  8.1. Representation basics
  8.2. A3 fundamentals
  8.3. Weyl group
  8.4. Orthogonal Lie algebras
  8.5. Spinor representations
  8.5.1. SO(2n) spinors
  8.5.2. SO(2n + 1) spinors
  8.5.3. Clifford algebra construction
  8.6. Casimir invariants and Dynkin indices
  8.7. Embeddings
  8.8. Oscillator representations
  8.9. Verma modules
  8.9.1. Weyl dimension formula
  8.9.2. Verma basis
  9. Finite groups: the road to simplicity
  9.1. Matrices over Galois fields
  9.1.1. VSL2(7)
  9.1.2. doubly transitive group
  9.2. Chevalley groups
  9.3. fleeting glimpse at the sporadic groups
  10. Beyond Lie algebras
  10.1. Serre presentation
  10.2. Affine Kac-Moody algebras
  10.3. Super algebras
  11. groups of the Standard Model
  11.1. Space-time symmetries
  11.1.1. Lorentz and Poincare groups
  11.1.2. conformal group
  11.2. Beyond space-time symmetries
  11.2.1. Color and the quark model
  11.3. Invariant Lagrangians
  11.4. Non-Abelian gauge theories
  11.5. Standard Model
  11.6. Grand Unification
  11.7. Possible family symmetries
  11.7.1. Finite SU(2) and SO(3) subgroups
  11.7.2. Finite SU(3) subgroups
  12. Exceptional structures
  12.1. Hurwitz algebras
  12.2. Matrices over Hurwitz algebras
  12.3. Magic Square
  Appendix 1. Properties of some finite groups
  Appendix 2. Properties of selected Lie algebras.