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International Journal of Group Theory
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Ranjbari, M., Zamani, Y. (2017). Induced operators on symmetry classes of polynomials. International Journal of Group Theory, 6(2), 21-35. doi: 10.22108/ijgt.2017.12406
Mahin Ranjbari; Yousef Zamani. "Induced operators on symmetry classes of polynomials". International Journal of Group Theory, 6, 2, 2017, 21-35. doi: 10.22108/ijgt.2017.12406
Ranjbari, M., Zamani, Y. (2017). 'Induced operators on symmetry classes of polynomials', International Journal of Group Theory, 6(2), pp. 21-35. doi: 10.22108/ijgt.2017.12406
Ranjbari, M., Zamani, Y. Induced operators on symmetry classes of polynomials. International Journal of Group Theory, 2017; 6(2): 21-35. doi: 10.22108/ijgt.2017.12406

Induced operators on symmetry classes of polynomials

Article 15, Volume 6, Issue 2, June 2017, Page 21-35  XML PDF (221 K)
Document Type: Research Paper
DOI: 10.22108/ijgt.2017.12406
Authors
Mahin Ranjbari; Yousef Zamani
Sahand University of Technology
Abstract
‎‎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.
Keywords
‎‎Symmetry class of polynomials‎; ‎Irreducible character‎; ‎Induced operator‎; ‎Symmetrized decomposable polynomial‎; ‎Derivative
Main Subjects
20C15 Ordinary representations and characters
References
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[13] Y. Zamani and E. Babaei, Symmetry classes of polynomials associated with the dicyclic group, Asian-Eur. J. Math., 6 (2013) pp. 10.

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[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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