Clifford \(k\)-algebras and \(k^*\)-groups

DOI10.1007/BF01214977zbMath0528.20035OpenAlexW2003051020MaRDI QIDQ786922

Luzius Grunenfelder

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/173388

zbMATH Keywords

central extensionsdiagonalizations of free nonsingular quadratic moduleelementary Abelian 2-subgroups of orthogonal groupgraded Azumaya algebrahomogeneous units of Clifford algebra

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Other matrix groups over rings (20H25) Clifford algebras, spinors (15A66) Graded rings and modules (associative rings and algebras) (16W50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) General binary quadratic forms (11E16)

Cites Work

• Nilpotent groups
• The orthogonal group over a full ring
• Erweiterung von Gruppen und ihren Isomorphismen
• Lectures on topics in algebraic \(K\)-theory
• Separable Algebras Over Commutative Rings
• The Brauer Group of Graded Azumaya Algebras

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