Decomposition of Mal'cev-Neumann division algebras with involution

DOI10.1007/BF02572343zbMath0812.16023MaRDI QIDQ1340618

Hélène Dherte

Publication date: 9 May 1995

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

Full work available at URL: https://eudml.org/doc/174672

zbMATH Keywords

Clifford algebrainvolutioncrossed producttensor productdiscriminantsMal'cev-Neumann series division algebraquaternion subalgebra

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35)

Cites Work

• Cyclic and elementary abelian subfields of Malcev-Neumann division algebras
• Cohomologische Invarianten quadratischer Formen
• Central simple algebras
• A question on the discriminants of involutions of central division algebras
• Discriminants of involutions on Henselian division algebras
• Clifford algebras for algebras with involution of Type D
• Formes quadratiques, groupes orthogonaux et algèbres de Clifford
• Division algebras of degree 4 and 8 with involution
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