报告主题：Minimal Integrity Bases and Irreducible Function Bases of Isotropic Invariants of a Third Order Symmetric Tensor
报告人：祁力群 教授 （Department of Applied Mathematics The Hong Kong Polytechnic University）
报告时间：2017年 11月23日（周四）15:00
报告地点：校本部G507
邀请人：王卿文
报告摘要：Representation theorems for both isotropic and anisotropic functions are of prime importance in both theoretical and applied mechanics. In 2014, an integrity basis with thirteen isotropic invariants of a (completely) symmetric third order three-dimensional tensor was presented by Olive and Auffray. Based upon this, we present several irreducible function bases with seven isotropic invariants, and five more integrity bases with thirteen isotropic invariants of a symmetric third order three-dimensional tensor in this paper. We show that these five integrity bases and the integrity basis given by Olive and Auffray are all minimal integrity bases of isotropic invariants of that symmetric third order three-dimensional tensor.
One of the five new integrity bases consist of monomial invariants only. We present two syzygy relations among the monomial invariants in this integrity basis.
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