Spin Characters' Decomposition Matrix, S24 modulo, p=7
DOI:
https://doi.org/10.56714/bjrs.49.1.7Keywords:
Modular representations and characters, Irreducible Modular Spin Characters, Symmetric groups, central, fieldAbstract
In this work, we compute decomposition matrix for the spin characters , connected between irreducible spin characters and irreducible modular spin characters, when the field characteristic equal to 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.
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References
J. Schur, J. Reine ang.Math , 155 (1911).
A. O. Morris, A. K. Yaseen, Royal Society of Edinburgh 108(1), 145 (1988).
A. K. Yaseen, Modular spin representations of the symmetric groups, United Kingdom: The University of Wales, Aberystwyth, (1987).
J. F. Humphreys, London Mathematical Society s2-33(3), 441 (1986).
S. A. Taban, N. S. Abdullah, Basrah Journal of Science 34(3A), 120 (2016).
A. H. Jassim, Journal of Basrah Researches Sciences, 43(1), 108 (2017).
A. k. Yaseen, M. M. Jawad, Appl. Math. Inf. Sci. 1(6), 743 (2021).
M. . M. Jawad, M. A. Hasan , Journal of Al-Qadisiyah for Computer Science and Mathematics 4(12), 17 (2020).
M. M. Jawad, M. A. Hasan, Journal of Basrah Researches 2(46), 1 (2020).
J. A. Resen, S. J. Abbas, H. J. Sadiq, Journal of Al-Qadisiyah for Computer Science and Mathematics 2(12), 57 (2020).
G. D. James, A. Kerber, The representation theory of the symmetric, Addison-Wesley, (1981).
B. M. Puttaswamaiah, J. D. Dixon, Modular representation of finite groups, New York: Academic Press, (1977).
J. D. James, Journal of Algebra 27, 57 (1973).
J. F. Humphreys, Journal of the London Mathematical Society s2-16(1), 51 (1977).
A. O. Morris, London Mathematical Society s3-12(1), 55 (1962).

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