Analogues of the Brauer group for algebras with involution

DOI10.1215/S0012-7094-92-06606-3zbMath0780.13002WikidataQ101247259 ScholiaQ101247259MaRDI QIDQ1196385

Raman Parimala, Vasudevan Srinivas

Publication date: 14 December 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Azumaya algebrasBrauer groupClifford invariantquadratic space

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quadratic spaces; Clifford algebras (11E88)

Related Items (10)

The norm map and the capitulation kernel ⋮ Involutions of Azumaya algebras ⋮ Involutive Brauer groups of a Krull domain ⋮ The Brauer group of the moduli stack of elliptic curves ⋮ Azumaya algebras without involution ⋮ A Lefschetz (1,1) theorem for normal projective complex varieties ⋮ The Arason invariant and mod 2 algebraic cycles ⋮ Invariants of a quadratic form attached to a tame covering of schemes. ⋮ Involutive invariants of the second kind ⋮ Cokernels of restriction maps and subgroups of norm one, with applications to quadratic Galois coverings

Cites Work

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• Azumaya algebras with involutions
• Fields of cohomological 2-dimension three
• Witt group of hyperelliptic curves
• The Clifford algebra of a metabolic space
• Théorie de la descente et algèbres d'Azumaya
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• On the joints of Hensel rings
• Some theorems on azumaya algebras

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