On The Decomposition Matrix Of Spin Characters Of S19 Modulo p=5

Authors

  • Marwa Mohammed Jawad Al-musawi University Basrah, College of Science, Department of Mathematics, Basrah-Iraq
  • Mohanad Abdulkareem Hasan Hasab University Basrah, College of Education for Human Sciences, Department of Psychological Counseling, Basrah-Iraq

DOI:

https://doi.org/10.29304/jqcm.2020.12.4.716

Keywords:

The Decomposition Matrix, Spin Characters.

Abstract

In this paper,  we calculate the decomposition matrix of spin characters for the symmetric group Sn when n=19 and p=5 by fond the decomposition matrices for all blocks of the symmetric group Sn since the decomposition matrix of Sn is the direct sum of all blocks

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References

[1]A.O. Morris : The Spin Representation of the Symmetric Group", proc. London Math. Soc. (3) 12 (1962) , 55-76
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[3] D. B. Wales: "Some projective representations of Sn "; J. Algebra 61 (1979) , 37-57 .
[4] G. James and A. Kerber :"The Representation Theory of the Symmetric Groups" , Reading , Mass , Addison- Wesley , (1981) .
[5] L. Mass "Modular Spin Characters of Symmetric Group":Dissertation , Universita ̈t Duisburg – Essen , 2011 .
[6] N. S. Abdullah: On the decomposition matrices of the projective characters of the symmetric group, M.Sc. Thesis Basrah University,(2009).
[7] S. A. Taban : 7-Decomposition matrix for the spin characters of the symmetric group S18 , Basrah J. Science , A, vol. 30, 3, (2004),49-62 .

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Published

2020-12-12

How to Cite

Al-musawi, M. M. J., & Hasab, M. A. H. (2020). On The Decomposition Matrix Of Spin Characters Of S19 Modulo p=5. Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(4), Math Page 17– 28. https://doi.org/10.29304/jqcm.2020.12.4.716

Issue

Vol. 12 No. 4 (2020): JQCM

Section

Math Articles