Weyl’s classic book on symmetry conveys the idea that the notion of symmetry is not just an art or an invention of the mind, but part of the observational structure of nature . However, the awareness of the importance of symmetry in physics became clear only after the debate on the negative result of the Michelson–Morley experiment and the subsequent interpretation of the relative motion between observers and observables given by Einstein. This interpretation led us to the emergence of the Poincaré symmetry. From then on, the structure of Lie symmetry has become the essential tool to the understanding of the fundamental interactions.
KeywordsLinear Representation Structure Constant Representation Space Adjoint Representation Casimir Operator
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