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arXiv · 1511.00668

The Standard Representation of the Symmetric Group $S_n$ over the Ring of Integers

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

In this paper we give a Casimir Invariant for the Symmetric group $S_n$. 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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Kunle Adegoke, Olawanle Layeni, Rauf Giwa, Gbenga Olunloyo. 2015-11-02. The Standard Representation of the Symmetric Group $S_n$ over the Ring of Integers. https://arxiv.org/abs/1511.00668

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