Classification of trivectors of an eight-dimensional real vector space
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Publication:3661733
DOI10.1080/03081088308817501zbMath0515.15011OpenAlexW2039534442MaRDI QIDQ3661733
Publication date: 1983
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081088308817501
classificationnumber of orbitsgroup actionexterior algebramatrix groupspace of trivectorsthird exterior power
Structure theory for Lie algebras and superalgebras (17B05) Algebraic systems of matrices (15A30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Exterior algebra, Grassmann algebras (15A75)
Related Items (21)
Unnamed Item ⋮ A geometric approach to alternating \(k\)-linear forms ⋮ Classification of real trivectors in dimension nine ⋮ A 14-dimensional Module for the Symplectic Group: Orbits on Vectors ⋮ Classification of $k$-forms on ${\bf R}^n$ and the existence of associated geometry on manifolds ⋮ Alternating multilinear forms ⋮ Trilinear alternating forms and related CMLs and GECs ⋮ An invitation to multisymplectic geometry ⋮ On the trivectors of a 6-dimensional symplectic vector space ⋮ Fourier coefficients of automorphic forms, character variety orbits, and small representations ⋮ Some noteworthy alternating trilinear forms ⋮ Regular subalgebras and nilpotent orbits of real graded Lie algebras ⋮ Multisymplectic 3-forms on 7-dimensional manifolds ⋮ Trilinear alternating forms on a vector space of dimension 8 over a finite field ⋮ Classification of 9-dimensional trilinear alternating forms over \(\mathrm{GF}(2)\) ⋮ On polyvectors of vector spaces and hyperplanes of projective Grassmannians ⋮ Singular lines of trilinear forms ⋮ On an eigenvalue localization problem ⋮ Poincaré duality and resonance varieties ⋮ Classification of 8-Dimensional Trilinear Alternating Forms over GF(2) ⋮ Algebres de lie orthogonales et formes trilineaires alternees
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