An irreducible function basis of isotropic invariants of a third order three-dimensional symmetric tensor

Zhongming Chen, Jinjie Liu, Liqun Qi, Quanshui Zheng, Wennan Zou

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6 Citations (Scopus)


In this paper, we present an eleven invariant isotropic irreducible function basis of a third order three-dimensional symmetric tensor. This irreducible function basis is a proper subset of the Olive-Auffray minimal isotropic integrity basis of that tensor. The octic invariant and a sextic invariant in the Olive-Auffray integrity basis are dropped out. This result is of significance to the further research of irreducible function bases of higher order tensors.

Original languageEnglish
Article number081703
JournalJournal of Mathematical Physics
Issue number8
Publication statusPublished - 1 Aug 2018

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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