Decomposition Matrix for the spin Characters,S_25 if the field characteristic is p=7

Authors

  • Ahmed Hussein Jassim College of Science, University of Basrah, Basrah, Iraq
  • Saeed Abdul-Ameer Taban College of Science, University of Basrah, Basrah, Iraq

DOI:

https://doi.org/10.29304/jqcm.2023.15.3.1278

Keywords:

Modular representations and characters, Irreducible Modular Spin Characters, projective character, Symmetric groups, field

Abstract

In this work, we compute decomposition matrix for the spin characters , connected between irreducible spin characters and irreducible modular spin characters, if the field characteristic is 7. The method used in this work is -inducing in a way to generate projective character for  by projective character of  and used maple program to see all the possible of columns and then choose the possible the right columns of them. The aim of this research is to pave the way for finding general relationships and theorems to study irreducible modular spin characters.

Downloads

Download data is not yet available.

Downloads

Published

2023-09-30

How to Cite

Jassim, A. H., & Taban, S. A.-A. (2023). Decomposition Matrix for the spin Characters,S_25 if the field characteristic is p=7. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(3), Math Page 14–25. https://doi.org/10.29304/jqcm.2023.15.3.1278

Issue

Vol. 15 No. 3 (2023): JQCM

Section

Math Articles