New improved exact sequences of Witt groups

DOI10.1016/0021-8693(82)90013-8zbMath0475.10021OpenAlexW1964875307MaRDI QIDQ1159707

David W. Lewis

Publication date: 1982

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90013-8

zbMATH Keywords

hermitian formquaternion division algebratwo exact sequences of Witt groups

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (13)

A Springer theorem for Hermitian forms. ⋮ NIVEAU HERMITIEN D'UNE ALGÈBRE DE QUATERNIONS À DIVISION MUNIE D'UNE INVOLUTION DE DEUXIÈME ESPÈCE ⋮ On the Gersten-Witt complex of an Azumaya algebra with involution ⋮ Sums of Hermitian squares ⋮ An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution ⋮ Sums of values represented by a quadratic form ⋮ Niveau hermitien de Certaines algèbres de quaternions ⋮ The Hasse principle for similarity of Hermitian forms ⋮ Hermitian forms and the \(u\)-invariant ⋮ EXACT SEQUENCES OF WITT GROUPS ⋮ On weak approximation in algebraic groups and related varieties defined by systems of forms ⋮ Some canonical pairings of Witt groups of forms ⋮ Periodicity of Clifford algebras and exact octagons of Witt groups

Cites Work

• On the local theory of quaternionic anti-hermitian forms
• A Note on Hermitian and Quadratic Forms
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