2018/03/06 by Shenglong Hu, Liqun Qi, Hu, Shenglong +1
Computer Science · Engineering · #Advanced Numerical Methods in Computational Mathematics #Algebraic Geometry (math.AG) #Elasticity and Material Modeling #FOS: Mathematics #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.1803.02011
openalex publication_date 2018/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we give a proof for that the cardinality of a function basis of the invariants for a finite dimensional real vector space by a compact group is lower bounded by the intuitive difference of the dimensions of the vector space and the group. An application is given to the space of third order three dimensional symmetric and traceless tensors, showing that each minimal integrity basis is an irreducible function basis, which solves a problem in applied mechanics.