2015•arXiv (Cornell University)Open access
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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