On the geometry of symmetric and alternating forms

DOI10.1016/0021-8693(84)90074-7zbMath0536.10015OpenAlexW2021266116MaRDI QIDQ791566

Donald G. James

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90074-7

zbMATH Keywords

Tits buildingsalternating formcharacteristic not twoplacegeneralization of fundamental theorem for geometry of algebraic homogeneous spacesgeometries of type Cn and Dnmaximal isotropic subspacesnondegenerate symmetric forms

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Quadratic forms over general fields (11E04) Geometry of classical groups (51N30)

Cites Work

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• Geometries of Matrices. III. Fundamental Theorems in the Geometries of Symmetric Matrices
• Algebraic Homogeneous Spaces over Fields of Characteristic Two