Seminar第1607期 Minimal Integrity Bases of Invariants of Second Order Tensors in a Flat Riemannian Space

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报告主题:Minimal Integrity Bases of Invariants of Second Order Tensors in a Flat Riemannian Space
报告人:Liqun Qi 教授 (Department of Mathematics The Hong Kong Polytechnic University)
报告时间:2018年 5月28日(周一)10:00
报告地点:校本部G507
邀请人:王卿文

报告摘要:In this talk, we study invariants of second order tensors in an n-dimensional flat Riemannian space. We define eigenvalues, eigenvectors and characteristic polynomials for second order tensors in such an n-dimensional Riemannian space and show that the coefficients of the characteristic polynomials are real polynomial invariants of that tensor. Then we give minimal integrity bases for second order symmetric and antisymmetric tensors, respectively, and study their special cases in the Minkowski space and applications in electrodynamics, etc.


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