Relativities and Homogeneous Spaces I

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• 作者：Heinrich Saller
• 关键词：operation group ; induced representations ; relativities ; homogeneous spaces
• 刊名：International Journal of Theoretical Physics
• 出版年：2006
• 出版时间：November, 2006
• 年：2006
• 卷：45
• 期：11
• 页码：2150-2180
• 全文大小：346 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

Special relativity, the symmetry breakdown in the electroweak standard model, and the dichotomy of the spacetime related transformations with the Lorentz group, on the one side, and the chargelike transformations with the hypercharge and isospin group, on the other side, are discussed under the common concept of “relativity.” A relativity is defined by classes G/H of “little” group in a “general” group of operations. Relativities are representable as linear transformations that are considered for five physically relevant examples.