I. Lie Groups: Notes by Y. Grossman and Y. Nir
نویسندگان
چکیده
As we will later see, a crucial role in model building is played by symmetries. You are already familiar with symmetries and with some of their consequences. For example, Nature seems to have the symmetry of the Lorentz group which implies conservation of energy, momentum and angular momentum. In order to understand the interplay between symmetries and interactions, we need a mathematical tool called Lie groups. These are the groups that describe all continuous symmetries. There are many texts about Lie group. Three that are very useful for particle physics purposes are the book by Howard Georgi (“Lie Algebras in particle physics”), the book by Robert Cahn (“Semi-simple Lie algebras and their representations”) and the physics report by Richard Slansky (“Group Theory for Unified Model Building”, Phys. Rept. 79 (1981) 1).
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