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This work gives an introduction to the properties and the structure of the Lie algebras su(n). First, characteristic quantities such as structure constants, the Killing form and functions of Lie algebras are introduced. The properties of the algebras su(2), su(3), and su(4) are investigated in detail. Geometric models of the representations are developed. A lot of care is taken over the use of the term multiplet of an algebra. «
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