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W. Fulton and J. Harris. Representation theory. A first course,. Springer-Verlag, 1991.

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Article

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

1Department of Physics and Engineering Physics, Obafemi Awolowo University, Ile-Ife, Nigeria

2Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria


Turkish Journal of Analysis and Number Theory. 2015, Vol. 3 No. 5, 126-127
DOI: 10.12691/tjant-3-5-3
Copyright © 2015 Science and Education Publishing

Cite this paper:
Kunle Adegoke, Olawanle Layeni, Rauf Giwa, Gbenga Olunloyo. The Standard Representation of the Symmetric Group Sn over the Ring of Integers. Turkish Journal of Analysis and Number Theory. 2015; 3(5):126-127. doi: 10.12691/tjant-3-5-3.

Correspondence to: Kunle  Adegoke, Department of Physics and Engineering Physics, Obafemi Awolowo University, Ile-Ife, Nigeria. Email: adegoke00@gmail.com

Abstract

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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