Orthogonal decompositions and canonical embeddings of multilinear alternating forms

DOI10.1080/03081080310001606517zbMath1049.15022OpenAlexW2053616063MaRDI QIDQ4464274

Jan Hora

Publication date: 27 May 2004

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

Full work available at URL: https://doi.org/10.1080/03081080310001606517

zbMATH Keywords

complexityefficiencyorthogonal decomposition\(k\)-linear alternating formsymmetric and alternating bilinear forms

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69)

Related Items (4)

Autotopisms and Isotopisms of Trilinear Alternating Forms ⋮ Classification of 9-dimensional trilinear alternating forms over \(\mathrm{GF}(2)\) ⋮ Singular lines of trilinear forms ⋮ Classification of 8-Dimensional Trilinear Alternating Forms over GF(2)

Cites Work

• Moufang loops with a unique nonidentity commutator (associator, square)
• Code loops
• Trilinear alternating forms on a vector space of dimension 7
• A Note on the Length of Trivectors

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