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DOI: 10.23952/cot.2025.4
Received December 8, 2023; Accepted March 20, 2024; Published online October 28, 2024
Abstract. For piezoelectric tensors, Olive (2014) proposed a minimal integrity basis of 495 hemitropic invariants, which is also a functional basis. In this article, we construct a new functional basis of hemitropic invariants of piezoelectric tensors, using the approach of Smith and Zheng. By eliminating invariants that are polynomials in other invariants, we obtain a new functional basis with 260 polynomially irreducible hemitropic invariants. Thus, the number of hemitropic invariants in the new functional basis is substantially smaller than the number of invariants in a minimal integrity basis.
How to Cite this Article:
Y. Chen, Z. Ming, L. Qi, W. Zou, A polynomially irreducible functional basis of hemitropic invariants of piezoelectric tensors, Commun. Optim. Theory 2025 (2025) 4.