Involutions of a Clifford Algebra Induced by Involutions of Orthogonal Group in Characteristic 2

DOI10.1080/00927872.2014.934460zbMath1379.11042OpenAlexW1802188192MaRDI QIDQ3448267

Mohammad Gholamzadeh Mahmoudi, Amir Hossein Nokhodkar

Publication date: 23 October 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.934460

zbMATH Keywords

orthogonal groupinvolutionsClifford algebrasreflectionsbilinear and quadratic forms

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Clifford algebras, spinors (15A66) Quadratic spaces; Clifford algebras (11E88)

Related Items

Applications of the wall form to unipotent isometries of index two, On the second trace form of biquaternion algebras with involution, On the decomposition of metabolic involutions

Cites Work

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• Orthogonal symmetries and Clifford algebras
• Algebras with involution that become hyperbolic over the function field of a conic.
• Fields of characteristic 2 with prescribed u-invariants
• Quadratic forms of dimension 8 with trivial discriminant and Clifford algebra of index 4
• Compositions of quadratic forms
• Factorization of involutions in characteristic two orthogonal groups: An application of the Jordan form to group theory
• A criterion of decomposability for degree \(4\) algebras with unitary involution
• Periodicity of Clifford algebras and exact octagons of Witt groups
• APPLICATIONS OF CLIFFORD ALGEBRAS TO INVOLUTIONS AND QUADRATIC FORMS