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arXiv 2015-11-02 0 views

The Standard Representation of the Symmetric Group Sₙ over the Ring of Integers

Adegoke, Kunle · Layeni, Olawanle · Giwa, Rauf · Olunloyo, Gbenga

Original · EN

In this paper we give a Casimir Invariant for the Symmetric group Sₙ. Furthermore we obtain and present, for the first time in the literature, explicit formulas for the matrices of the standard representation in terms of the matrices of the permutation representation.

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