Tensor products and discriminants of unital quadratic forms over commutative rings

DOI10.1007/BF01298455zbMath0872.11022MaRDI QIDQ1921390

Ottmar Loos

Publication date: 28 October 1996

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178737

zbMATH Keywords

cohomologytensor productbase pointorthogonal group schemeunital quadratic formvector discriminant

Mathematics Subject Classification ID

Classical groups (algebro-geometric aspects) (14L35) Quadratic spaces; Clifford algebras (11E88) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items (7)

Structure Theorems for Jordan Algebras of Degree Three Over Fields of Arbitrary Characteristic ⋮ Discriminant algebras of finite rank algebras and quadratic trace modules ⋮ A survey on Albert algebras ⋮ Algebras with scalar involution revisited ⋮ Cubic and symmetric compositions over rings ⋮ Generically algebraic Jordan algebras over commutative rings ⋮ Reduced models of Albert algebras

Cites Work

• K-theory of quadric hypersurfaces
• Quadratic algebras, Clifford algebras, and arithmetic Witt groups
• Braided tensor categories
• On the invariants mod 2 of Albert algebras
• Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
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