Orthogonal symmetries and Clifford algebras

DOI10.1007/s12044-010-0050-zzbMath1270.15015arXiv1006.0997OpenAlexW2036819515MaRDI QIDQ353950

Mohammad Gholamzadeh Mahmoudi

Publication date: 17 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0997

zbMATH Keywords

reflectionquadratic formClifford algebrainvolutionClifford mapeven Clifford algebramultiquaternion algebraorthogonal symmetryuniversal property of Clifford algebra

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63)

Related Items

Involutions of a Clifford Algebra Induced by Involutions of Orthogonal Group in Characteristic 2 ⋮ Applications of the wall form to unipotent isometries of index two ⋮ Surjectivity of the total Clifford invariant and Brauer dimension

Cites Work

• A proof of the Pfister factor conjecture
• Compositions of quadratic forms
• Central simple algebras
• Hyperbolic involutions
• A criterion of decomposability for degree \(4\) algebras with unitary involution
• Periodicity of Clifford algebras and exact octagons of Witt groups
• A note on Clifford algebras and central division algebras with involution
• On Hyperbolic Clifford Algebras with Involution
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