Abstract
Abstract In Chapter 2 the symmetric group Sn was introduced together with its basic properties. Its role in quantum mechanics was also specified. In this chapter we shall analyse the irreducible representations of Sn. by using Young diagrams (Young 1928). These diagrams play a very important role in group theory because they relate the symmetric group to some continuous groups which are also important in physics. The relation is such that one can use Young diagrams to describe representations of the symmetric group as well as of most Lie groups. The use of Young diagrams for Lie groups was initiated by Herman Weylin 1931 (see Weyl 1946). The method works particularly well for SU(l + 1) groups. For further discussion see Chapter 5.
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