Symmetric matrices, characteristic polynomials, and Hilbert symbols over local number fields

DOI10.1090/S0002-9904-1973-13181-7zbMath0259.15008OpenAlexW2063697831MaRDI QIDQ5675839

Norman P. Herzberg, Edward A. Bender

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13181-7

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) General binary quadratic forms (11E16) Polynomials (11S05)

Related Items (6)

Characteristic polynomials of symmetric matrices ⋮ Algebraic number fields ⋮ Representation of the direct sum of two quadratic fields by rational symmetric matrices ⋮ Minimal dimension of symmetric or skew-symmetric matrices of given minimal polynomial ⋮ Reality properties of conjugacy classes in \(G_2\). ⋮ Representations of algebraic numbers by matrices

Cites Work

• Characteristic polynomials of symmetric matrices
• A Lifting Formula for the Hilbert Symbol
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