On polyvectors of vector spaces and hyperplanes of projective Grassmannians

DOI10.1016/j.laa.2011.02.031zbMath1278.15027OpenAlexW2045095812MaRDI QIDQ551253

Bart De Bruyn

Publication date: 15 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.02.031

zbMATH Keywords

hyperplanemultilinear formpolyvectorprojective Grassmannianregular spread

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45) Exterior algebra, Grassmann algebras (15A75)

Related Items (7)

A geometric approach to alternating \(k\)-linear forms ⋮ A 14-dimensional Module for the Symplectic Group: Orbits on Vectors ⋮ On the trivectors of a 6-dimensional symplectic vector space. III ⋮ On the trivectors of a 6-dimensional symplectic vector space. IV ⋮ On the trivectors of a 6-dimensional symplectic vector space ⋮ On the trivectors of a 6-dimensional symplectic vector space. II ⋮ Clifford parallelisms and external planes to the Klein quadric

Cites Work

• Hyperplanes of embeddable Grassmannians arise from projective embeddings: A short proof
• Geometric hyperplanes of embeddable Grassmannians
• Bruck's vision of regular spreads or what is the use of a Baer superspace?
• Classification des formes trilineaires alternees en dimension 6
• On the geometry of algebraic homogeneous spaces
• Classification of trivectors of an eight-dimensional real vector space
• Trilinear alternating forms on a vector space of dimension 7
• Real trivectors of rank seven
• Klassifizierung der alternierenden Gröszen dritten Grades in 7 Dimensionen
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