Pfister’s theorem for orthogonal involutions of degree 12

DOI10.1090/S0002-9939-08-09674-3zbMath1172.16018arXiv0802.1172MaRDI QIDQ3623331

Anne Quéguiner-Mathieu, Skip Garibaldi

Publication date: 17 April 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1172

zbMATH Keywords

algebras with involutionquadratic formscentral simple algebrasdiscriminantsunitary involutionsorthogonal involutionsClifford invariantshalf-spin representations

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Quadratic forms over general fields (11E04) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20)

Related Items (3)

Cohomological Invariants of Central Simple Algebras with Involution ⋮ Hyperbolic Involutions and Quadratic Extensions ⋮ Decomposability of orthogonal involutions in degree 12

Cites Work

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• Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque.
• Quadratic forms over arbitrary fields
• Classification of quadratic forms over skew fields of characteristic 2

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