A linear portrayal of the Galois group G by the ring of irreducible characters of the hyperoctahedral group
*Pemha Binyam Gabriel CedricCorresponding authorgpemha@yahoo.frDepartment of Mathematics and Computer SciencesFaculty of SciencesUniversity of DoualaDouala, P. O. Box 24157, Cameroon0009-0004-9987-8696View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 13 Jun 2023
- Published Online:
- 11 Apr 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1858
- Pages:
- 701–713
Abstract
Keywords
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References
[1] R. Brauer and J. Tate, “On the characters of finite groups,” Ann. of Math., vol. 62, pp. 1–7 (1955).
[2] J. Baker, Matrix Groups: An Introduction to Lie Group Theory, Springer, London (2002).
[3] J. P. Serre, Corps locaux, Actualités scientifiques et Industrielles, Chap IV, pp. 69–87 (1968).
[4] J. L. Basdevant and J. Dalibard, Mécanique Quantique, Les Editions de l’Ecole Polytechnique (2004).
[5] E. Artin, “Die gruppentheoretische Struktur der diskriminanten algebraischer Zahlkörper,” J. reine ang. Math., vol. 164, pp. 1–11 (1931).
[6] P. B. Gabriel Cédric, “Quasi-Cyclic Codes Over Finite Chain mΘ Pseudo Field F(pkZ, 1),” Global Journal of Science Frontier Research: F Mathematics and Decision Sciences, vol. 23, no. 3, pp. 85–101 (2023).
[7] P. B. Gabriel Cédric, “The mΘ protocol F5 and Hamming mΘ codes,” London Journal of Research in Science, vol. 23, no. 13, pp. 21–36 (2023).
[8] F. G. Frobenius, Gesammelte Abhandlungen, vol. 3, Springer, Berlin (1968).
[9] B. C. Hall, Lie Groups, Lie Algebras and Representations: An Elementary Introduction, Springer, New York (2003).
[10] E. Artin and J. Tate, Class Field Theory, Benjamin, New York (1967).
[11] S. Lang, Algebra, Graduate Texts in Mathematics, vol. 211, Springer-Verlag, New York (2002).
[12] A. Knapp, Lie Groups, Beyond an Introduction, Birkhäuser, New York, 1996; 2nd ed. (2002).
[13] S. Porier, Fonctions symétriques, ensembles de descentes et classes de conjugaison dans les produits en couronne, Ph.D. dissertation, Université du Québec à Montréal, Canada (1995).
[14] G. Rauch, Les groupes finis et leurs représentations, Ellipses, Paris (2000).
[15] W. Rossmann, Lie Groups: An Introduction Through Linear Groups, Oxford University Press, Oxford (2002).
[16] G. C. Pemha Binyam, L. Um Emilie, and Y. J. Ndje, “The mΘ Quadratic Character in the mΘ Set ZnZ,” Mathematics and Computer Science, vol. 8, no. 1, pp. 11–18 (2023).
[17] A. Rougé, Introduction à la physique subatomique, Les Editions de l’Ecole Polytechnique, Palaiseau (2005).




