Classification of Hermitian forms and semisimple groups over fields of virtual cohomological dimension one

DOI10.1007/BF02567524zbMath0846.20048MaRDI QIDQ1911866

Claus Scheiderer

Publication date: 22 August 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156169

zbMATH Keywords

quadratic formssemisimple groupscohomological dimensionHasse principlehermitian formsfield of rational functionsperfect fieldsconnected linear groupssmooth projective real curves

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Quadratic forms over general fields (11E04) Cohomology theory for linear algebraic groups (20G10) Classical groups (11E57)

Related Items (1)

PFISTER FORMS TIMES TRACE FORMS

Cites Work

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• Quaternionic skew-hermitian forms over a number field
• Invarianten hermitescher Formen über Schiefkörpern. (Invariant Hermitean forms over skew fields)
• Hermitian forms over division algebras over real function fields
• On some Hasse principles over formally real fields
• Hasse principle for principal homogeneous spaces under classical groups over a field of virtual cohomological dimension at most one
• Lectures on Galois cohomology of classical groups. With an appendix by T. Springer

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