On the trivectors of a 6-dimensional symplectic vector space

DOI10.1016/j.laa.2011.01.028zbMath1233.15010OpenAlexW2025594317MaRDI QIDQ2431191

Mariusz Kwiatkowski, Bart De Bruyn

Publication date: 11 April 2011

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

Full work available at URL: https://biblio.ugent.be/publication/2027021

zbMATH Keywords

symplectic groupexterior powerhyperbolic basis

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Exterior algebra, Grassmann algebras (15A75)

Related Items (6)

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 ⋮ The classification of the trivectors of a six-dimensional symplectic space: Summary, consequences and connections ⋮ On the trivectors of a 6-dimensional symplectic vector space. II ⋮ A new look at the classification of the tri-covectors of a 6-dimensional symplectic space

Cites Work

• On polyvectors of vector spaces and hyperplanes of projective Grassmannians
• On the Grassmann modules for the symplectic groups
• Some subspaces of the \(k\)th exterior power of a symplectic vector space
• Classification des formes trilineaires alternees en dimension 6
• 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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