Abstract
No group is of greater importance than the symmetric group. After all, any group can be embedded as a subgroup of a symmetric group. In this chapter, we construct the irreducible representations of the symmetric group S n . The character theory of the symmetric group is a rich and important theory filled with important connections to combinatorics. One can find whole books dedicated to this subject, cf. [16, 17, 19, 12]. Moreover, there are important applications to such diverse areas as voting and card shuffling [7, 8, 3].
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© 2012 Springer Science+Business Media, LLC
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Steinberg, B. (2012). Representation Theory of the Symmetric Group. In: Representation Theory of Finite Groups. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0776-8_10
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DOI: https://doi.org/10.1007/978-1-4614-0776-8_10
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-0775-1
Online ISBN: 978-1-4614-0776-8
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