Classification of 9-dimensional trilinear alternating forms over \(\mathrm{GF}(2)\)

DOI10.1016/j.ffa.2020.101788zbMath1461.15016OpenAlexW3112164690MaRDI QIDQ1995217

Jan Hora, Pavel Pudlák

Publication date: 19 February 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2020.101788

zbMATH Keywords

classificationtrilinear alternating formradical polynomial

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Vector and tensor algebra, theory of invariants (15A72) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (2)

Classification of real trivectors in dimension nine ⋮ Graph-theoretic algorithms for the alternating trilinear form equivalence problem

Cites Work

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• Code loops in dimension at most \(8\)
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• Steiner forms
• Classification of trivectors of an eight-dimensional real vector space
• Trilinear alternating forms on a vector space of dimension 7
• Transvecteur de rang 8 sur un corps algébriquement clos
• Orthogonal decompositions and canonical embeddings of multilinear alternating forms
• Trilinear alternating forms on a vector space of dimension 8 over a finite field
• Classification of 8-Dimensional Trilinear Alternating Forms over GF(2)

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