Symmetry classes of tensors and Semi-direct product of finite abelian groups

Kijti Rodtes; Kunlathida Chimla

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arXiv · 1612.02910

Symmetry classes of tensors and Semi-direct product of finite abelian groups

Kijti Rodtes·Kunlathida Chimla

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Abstract

In the study of symmetry classes of tensors, finding examples of symmetry classes of tensors that possess an o*-basis is of considerable interest. There are only few classes of groups that have been provided a necessary and sufficient condition for having such a basis. There is no general criterion for any finite groups yet. In this note, we provide a necessary and sufficient condition for the existence of o*-basis of symmetry classes of tensors associated with semi-direct product of some finite abelian groups and, consequently, their wreath product.

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BibTeX RIS

Kijti Rodtes, Kunlathida Chimla. 2016-12-09. Symmetry classes of tensors and Semi-direct product of finite abelian groups. https://arxiv.org/abs/1612.02910

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