Trilinear alternating forms on a vector space of dimension 7
From MaRDI portal
Publication:3789706
DOI10.1080/00927878808823558zbMath0646.15019OpenAlexW2057612593MaRDI QIDQ3789706
Arjeh M. Cohen, Aloysius G. Helminck
Publication date: 1988
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://ir.cwi.nl/pub/1725
classificationGalois cohomologyfinite fieldsalternating formsdimension 7non-algebraically closed fieldstrilinear forms on a vector space
Linear algebraic groups over arbitrary fields (20G15) Forms of degree higher than two (11E76) Quadratic and bilinear forms, inner products (15A63) Alternative rings (17D05)
Related Items (36)
A geometric approach to alternating \(k\)-linear forms ⋮ Autotopisms and Isotopisms of Trilinear Alternating Forms ⋮ Finite singular orbit modules for algebraic groups ⋮ Classification of real trivectors in dimension nine ⋮ Chevalley groups of type \(G_ 2\) as the group of a trilinear form ⋮ 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 Forms of Higher Degree ⋮ Alternating multilinear forms ⋮ Linear preservers and representations with a 1-dimensional ring of invariants ⋮ Practical post-quantum signature schemes from isomorphism problems of trilinear forms ⋮ Trilinear alternating forms and related CMLs and GECs ⋮ On the trivectors of a 6-dimensional symplectic vector space. III ⋮ The hyperplanes of DW(5,F) arising from the Grassmann embedding ⋮ On the trivectors of a 6-dimensional symplectic vector space. IV ⋮ Geometries arising from trilinear forms on low-dimensional vector spaces ⋮ Notes on \(G_2\): the Lie algebra and the Lie group ⋮ On the trivectors of a 6-dimensional symplectic vector space ⋮ On the trivectors of a 6-dimensional symplectic vector space. II ⋮ Trivectors and cubics: PG(5,2) aspects ⋮ Some noteworthy alternating trilinear forms ⋮ Subgroups of \(\mathrm{Spin}(7)\) or \(\mathrm{SO}(7)\) with each element conjugate to some element of \(\mathrm{G}_2\) and applications to automorphic forms ⋮ Code loops in dimension at most \(8\) ⋮ The Lie Algebra of a Hyperbolic Higher Degree Alternating Form ⋮ Trilinear alternating forms on a vector space of dimension 8 over a finite field ⋮ Classification of 9-dimensional trilinear alternating forms over \(\mathrm{GF}(2)\) ⋮ ABEL–JACOBI MAPS FOR HYPERSURFACES AND NONCOMMUTATIVE CALABI–YAU'S ⋮ On polyvectors of vector spaces and hyperplanes of projective Grassmannians ⋮ Affine distance-transitive graphs and classical groups ⋮ Singular lines of trilinear forms ⋮ Poincaré duality and resonance varieties ⋮ Weights of the $\mathbb{F}_{q}$-forms of $2$-step splitting trivectors of rank $8$ over a finite field ⋮ Orthogonal decompositions and canonical embeddings of multilinear alternating forms ⋮ Classification of 8-Dimensional Trilinear Alternating Forms over GF(2) ⋮ Computational Methods for Orbit Closures in a Representation with Finitely Many Orbits ⋮ Equivalent constructions of nilpotent quadratic Lie algebras
Cites Work
This page was built for publication: Trilinear alternating forms on a vector space of dimension 7