The isometry classification of Hermitian forms over division algebras
type: Item
instance of: scholarly article
title: The isometry classification of Hermitian forms over division algebras
zbMATH Open document ID: 0488.10020
DOI: 10.1016/0024-3795(82)90258-0
published in: Linear Algebra and its Applications
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 11E16
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 11E04
zbMATH DE Number: 3767757
zbMATH Keywords: survey
zbMATH Keywords: isometry classification
zbMATH Keywords: epsilon-symmetric bilinear forms over fields
zbMATH Keywords: epsilon-hermitian forms over division algebras with involution
zbMATH Keywords: skew-hermitian forms over quaternion algebra
zbMATH Keywords: bibliography
zbMATH Keywords: quadratic forms
author: D. W. Lewis
MaRDI profile type: Publication
full work available at URL: 0024-3795(82)90258-0
OpenAlex ID: W2025371642
cites work: Hermitian Forms I
cites work: Hermitian forms. II
cites work: Cohomologische Invarianten quadratischer Formen
cites work: Invarianten hermitescher Formen über Schiefkörpern. (Invariant Hermitean forms over skew fields)
cites work: Zur Klassifikation schiefhermitescher Formen über Zahlkörpern. (On the classification of skew Hermitean forms over number fields)
cites work: Q3285650
cites work: Q5649690
cites work: Quadratic forms over arbitrary fields
cites work: Quadratic forms over nonformally real fields with a finite number of quaternion algebras
cites work: Q3843699
cites work: Q3848237
cites work: Classification theorems for quadratic forms over fields
cites work: Quadratic Forms Over Formally Real Fields and Pythagorean Fields
cites work: On some Hasse principles over formally real fields
cites work: Forms over rings with involution
cites work: Quadratic forms in infinite dimensional vector spaces
cites work: Q4771385
cites work: Clifford algebras for algebras with involution of Type D
cites work: Q5822102
cites work: Quadratic forms
cites work: Q5670744
cites work: Generic Splitting of Quadratic Forms, I
cites work: Generic Splitting of Quadratic Forms, II
cites work: Lectures on Galois cohomology of classical groups. With an appendix by T. Springer
cites work: Q5675788
cites work: Forms over real algebras and the multisignature of a manifold
cites work: Q4043127
cites work: On isometries of inner product spaces
cites work: Prospects in Mathematics. (AM-70)
cites work: Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
cites work: Q3293461
cites work: Hermitian quadratic forms in a quasi-field
cites work: The equation \(\bar t at=b\) in a quaternion algebra
cites work: Quadratic and Hermitian forms in additive and Abelian categories
cites work: Q3235395
cites work: The equivalence of sesquilinear forms
cites work: The equivalence of bilinear forms
cites work: Symmetric bilinear forms and quadratic forms
cites work: Klassifikation hermitescher Formen über lokalen Körpern
cites work: Quadratic forms and Galois cohomology
cites work: The square class invariant for quadratic forms and the classification problem
cites work: Q3228687
cites work: Q3257832
cites work: Formes quadratiques, groupes orthogonaux et algèbres de Clifford
cites work: On the local theory of quaternionic anti-hermitian forms
cites work: Similarity of Quadratic Forms and Isomorphism of Their Function Fields
cites work: On the classification of Hermitian forms. II: Semisimple rings
cites work: Q5594673
cites work: On the conjugacy classes in the unitary, symplectic and orthogonal groups
cites work: Pairs of quadratic forms
cites work: Q5566639
description: scientific article; zbMATH DE number 3767757