Group Theory in Physics, 第 2 卷Academic Press, 1984 - 562 頁 Now available in a convenient paperback edition! Volume 1 treats in detail the fundamental concepts of the theory of groups and their role in physics, plus their application to molecular and solid state physics. In Volume 2 the theory of Lie groups and Lie algebras is presented and applied to atomic and high-energy physics, concluding with an account of the recently developed gauge theories of fundamental interactions.The extensive appendices contain background material and comprehensive tabulations of ther properties of crystallographic point groups and semi-simple Lie groups and Lie algebras. |
內容
The Role of Lie Algebras | 375 |
Relationships Between Lie Groups and Lie Algebras Explored | 397 |
Lie Groups | 399 |
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a₁ A₂ Abelian adjoint representation analytic angular momentum antisymmetric Appendix automorphism B₁ baryon basis elements basis vectors carrier space Cartan subalgebra Chapter 13 Clebsch-Gordan coefficients Clebsch-Gordan series commutation complex Lie algebra complex numbers complexification Consequently convenient defined in Equation denoted diagonal dimension Dirac matrices direct product direct sum Dynkin diagram eigenvalues eigenvectors embedding Equa Example form a basis given gives h₁ hadrons highest weight identity implies integer interaction invariant subalgebra irreducible representation isomorphic isotopic spin j₁ k₁ Killing form Lagrangian density linear Lie group linearly independent Lorentz m₁ multiplet n₁ n₂ particles Phys positive roots Proof quarks real form real Lie algebra real numbers rotations Section semi-simple semi-simple Lie algebra simple complex Lie spinor subgroup symmetry Theorem theory tion transformation unitary universal covering group values vector space Weyl Weyl group Young tableaux α₁