eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2015-12-14
3
5
126
127
10.12691/tjant-3-5-3
TJANT2015353
article
The Standard Representation of the Symmetric Group Sn over the Ring of Integers
Kunle Adegoke
adegoke00@gmail.com
1
Olawanle Layeni
2
Rauf Giwa
2
Gbenga Olunloyo
2
Department of Physics and Engineering Physics, Obafemi Awolowo University, Ile-Ife, Nigeria
Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria
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.
http://pubs.sciepub.com/tjant/3/5/3/tjant-3-5-3.pdf
standard representation
symmetric group
casimir invariant