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Induced operators on symmetry classes of polynomials | ||
| International Journal of Group Theory | ||
| مقاله 4، دوره 6، شماره 2، شهریور 2017، صفحه 21-35 اصل مقاله (220.9 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2017.12406 | ||
| نویسندگان | ||
| Mahin Ranjbari؛ Yousef Zamani* | ||
| Sahand University of Technology | ||
| چکیده | ||
| In this paper, we give a necessary and sufficient condition for the equality of two symmetrized decomposable polynomials. Then, we study some algebraic and geometric properties of the induced operators over symmetry classes of polynomials in the case of linear characters. | ||
| کلیدواژهها | ||
| Symmetry class of polynomials؛ Irreducible character؛ Induced operator؛ Symmetrized decomposable polynomial؛ Derivative | ||
| مراجع | ||
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[1] E. Babaei and Y. Zamani, Symmetry classes of polynomials associated with the direct product of permutation groups, Int. J. Group Theory, 3 no. 4 (2014) 63–69.
[2] E. Babaei and Y. Zamani, Symmetry classes of polynomials associated with the dihedral group, Bull. Iranian Math. Soc., 40 no. 4 (2014) 863–874.
[3] E. Babaei, Y. Zamani and M. Shahryari, Symmetry classes of polynomials, Comm. Algebra, 44 (2016) 1514–1530.
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[10] R. Merris, Multilinear Algebra, Gordon and Breach Science Publisher, Amsterdam, 1997.
[11] K. Rodtes, Symmetry classes of polynomials assosiated to the semidihedral group and o-basis, J. Algebra Appl., 13 (2014) pp. 7.
[12] M. Shahryari, Relative symmetric polynomials, Linear Algebra Appl., 433 (2010) 1410–1421.
[13] Y. Zamani and E. Babaei, Symmetry classes of polynomials associated with the dicyclic group, Asian-Eur. J. Math., 6 (2013) pp. 10.
[14] Y. Zamani and E. Babaei, The dimensions of cyclic symmetry classes of polynomials, J. Algebra Appl., 13 (2014) pp. 10.
[15] Y. Zamani and M. Ranjbari, Induced operators on the space of homogeneous polynomials, Asian-Eur. J. Math., 9 (2016) pp. 15. | ||
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