Pfaffians, central simple algebras and similitudes

DOI10.1007/BF02571366zbMath0707.16006OpenAlexW2035653076MaRDI QIDQ919439

R. Sridharan, Max-Albert Knus, Raman Parimala

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174247

zbMATH Keywords

quadratic formAzumaya algebraalgebra with involutiontensor products of quaternion algebrasalternating elementsdiscriminant modulegroup of special similitudesinvolution of orthogonal typeinvolutions on central simple algebraspfaffian

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quadratic spaces; Clifford algebras (11E88)

Related Items

On the determinant class of an algebra with unitary involution, Cohomological invariants of algebras with involution, On biquaternion algebras with orthogonal involution, On the second trace form of biquaternion algebras with involution, Cohomological Invariants of Central Simple Algebras with Involution, APPLICATIONS OF CLIFFORD ALGEBRAS TO INVOLUTIONS AND QUADRATIC FORMS, Isotropic trialitarian algebraic groups

Cites Work

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