Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
3
5
2015
12
14
The Standard Representation of the Symmetric Group Sn over the Ring of Integers
126
127
EN
Kunle
Adegoke
Department of Physics and Engineering Physics, Obafemi Awolowo University, Ile-Ife, Nigeria
Olawanle
Layeni
Rauf
Giwa
Gbenga
Olunloyo
TJANT2015353
10.12691/tjant-3-5-3
2015
7
24
2015
11
4
2015
12
12
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.