Composition of binary integral quadratic forms via integral 2 × 2 matrices and composition of matrix classes

DOI10.1080/03081088108817421zbMath0472.15013OpenAlexW1984538603MaRDI QIDQ3926743

O. Taussky Todd

Publication date: 1981

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088108817421

zbMATH Keywords

integral quadratic formideal matrixmatrix classintegral 2x2 matrix

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Quadratic and bilinear forms, inner products (15A63) Matrices of integers (15B36) Canonical forms, reductions, classification (15A21)

Related Items (4)

Olga Taussky-Todd, 1906-1995 ⋮ On computing the generalized Crawford number of a matrix ⋮ Generalized numerical ranges, joint positive definiteness and multiple eigenvalues ⋮ The many aspects of the Pythagorean triangles

Cites Work

• Determinants of Galois automorphisms of maximal commutative rings of \(2\times 2\) matrices
• A note on the local-global principle for similarity of matrices
• A result concerning classes of matrices
• A correspondence between classes of ideals and classes of matrices
• On the similarity transformation between an integral matrix with irreducible characteristic polynomial and its transpose
• Ideal matrices. II
• Ideal matrices. I
• The factorization of an integral matrix into a product of two integral symmetric matrices
• The factorization of an integral matrix into a product of two integral symmetric matrices, II. The general case n=2

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