Designed Algorithms for Compute the Tenser Product of Representation for the Special Linear Groups

Hani Muslim Abood; Niran Sabah Jasim; Samera Shams Hussein; Sukaina Sh. Altyar

doi:https://doi.org/10.14445/22315373/IJMTT-V35P531

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 35 | Number 4 | Year 2016 | Article Id. IJMTT-V35P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V35P531

Designed Algorithms for Compute the Tenser Product of Representation for the Special Linear Groups

Hani Muslim Abood, Niran Sabah Jasim, Samera Shams Hussein, Sukaina Sh. Altyar

Abstract

The main objective of this paper is to designed algorithms and implemented in the construction of the main program designated for the determination the tenser product of representation for the special linear group.

Keywords

Designed algorithms, representation for the group, degree of the representation, character of representation, tenser product.

References

[1] N. S.Jaism, “Cyclic Decomposition of SL(2,p) where p = 9, 25 and 27”, Journal of the College of Basic Education, Vol. 15, pp.1-14, 2009.
[2]C.W. Curtis and I. Reiner; “The Representation Theory Of Finite Groups And Associative Algebras”, John Wiley & Sons, NewYork –London, 1962.
[3]I.M.Isaacs; “Character Theory Of Finite Groups”, Academic Press, NewYork, 1976.
[4] S.Donkin and D.Testerman, “Representations of SL2(K)”, MASTER PROJECT, The University of York, 2012.
[5] S. T. Abdul Rahman, N. S.Jasim and A.I. Abdul Naby“Tenser Product of Representation for group Cn”, International Journal of Engineering Research and Applications, Vol.4, pp.1-8, 2014.

Citation :

Hani Muslim Abood, Niran Sabah Jasim, Samera Shams Hussein, Sukaina Sh. Altyar, "Designed Algorithms for Compute the Tenser Product of Representation for the Special Linear Groups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 35, no. 4, pp. 216-218, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V35P531