Irreducible function bases of isotropic invariants of a third order three-dimensional symmetric and traceless tensor

Yannan Chen, Shenglong Hu, Liqun Qi, Wennan Zou

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)

Abstract

Third order three-dimensional symmetric and traceless tensors play an important role in physics and tensor representation theory. A minimal integrity basis of a third order three-dimensional symmetric and traceless tensor has four invariants with degrees two, four, six, and ten, respectively. In this paper, we show that any minimal integrity basis of a third order three-dimensional symmetric and traceless tensor is also an irreducible function basis of that tensor, and there is no syzygy relation among the four invariants of that basis, i.e., these four invariants are algebraically independent.

Original languageEnglish
JournalFrontiers of Mathematics in China
Volume14
Issue number1
DOIs
Publication statusPublished - 1 Feb 2019

Keywords

  • irreducible function basis
  • Minimal integrity basis
  • symmetric and traceless tensor
  • syzygy

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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