We begin our study of the symmetric group by considering its representations. First, however, we must present some general results about group representations that will be useful in our special case. Representation theory can be couched in terms of matrices or in the language of modules. We consider both approaches and then turn to the associated theory of characters. All our work will use the complex numbers as the ground field in order to make life as easy as possible.
KeywordsTensor Product Irreducible Representation Matrix Representation Conjugacy Class Symmetric Group
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