Canonical forms of order-k(k= 2, 3, 4) symmetric tensors of format 3 × … × 3 over prime fields

DOI10.1080/03081087.2014.922966zbMath1309.15023arXiv1302.5005OpenAlexW2224423811MaRDI QIDQ5175383

Stavros Georgios Stavrou

Publication date: 20 February 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5005

zbMATH Keywords

canonical formsfinite fieldsgroup actionscomputer algebratensor ranksymmetric tensor rankmultidimensional arraysouter product decompositionsymmetric outer product decomposition

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Modular representations and characters (20C20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21)

Related Items (3)

Bounds of M-eigenvalues and strong ellipticity conditions for elasticity tensors ⋮ The symmetric rank and decomposition of \(m\)-order \(n\)-dimensional \((n = 2,3,4)\) symmetric tensors over the binary field ⋮ Nonstandard rank-one nonincreasing maps on symmetric matrices

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