SYMMETRY CLASSES OF POLYNOMIALS ASSOCIATED WITH THE DICYCLIC GROUP-Reference-Cited by-同舟云学术

SYMMETRY CLASSES OF POLYNOMIALS ASSOCIATED WITH THE DICYCLIC GROUP

Published:2013-09 Issue:03 Volume:06 Page:1350033
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Zamani Yousef¹,Babaei Esmaeil¹

Affiliation:

1. Faculty of Sciences, Sahand University of Technology, Tabriz, Iran

Abstract

In this paper, we obtain the dimensions of symmetry classes of polynomials with respect to the irreducible characters of the dicyclic group as a subgroup of the full symmetric group. Then we discuss the existence of o-basis of these classes. In particular, the existence of o-basis of symmetry classes of polynomials with respect to the irreducible characters of the generalized quaternion group are concluded.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557113500332

Reference10 articles.

1. Advanced Combinatorics

2. On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group

3. Orthogonal bases of symmetrized tensor spaces

4. Symmetry classes of tensors associated with certain groups

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