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

Author:

Bender Edward A.,Herzberg Norman P.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. Characteristic polynomials of symmetric matrices;Bender, Edward A.;Pacific J. Math.,1968

2. 2. E. A. Bender, A lifting formula for the Hilbert symbol, Proc. Amer. Math. Soc. (to appear).

3. Characteristic polynomials of symmetric matrices. II. Local number fields;Bender, Edward A.;Linear and Multilinear Algebra,1974

4. Characteristic polynomials of symmetric matrices. III. Some counterexamples;Bender, Edward A.;Linear and Multilinear Algebra,1974

5. 5. O. T. O’Meara, Introduction to quadratic forms, Die Grundlehren der math. Wissenschaften, Band 117, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 27 #2485.

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1. Reality properties of conjugacy classes inG 2;Israel Journal of Mathematics;2005-12

2. Minimal dimension of symmetric or skew-symmetric matrices of given minimal polynomial;Journal of Pure and Applied Algebra;2001-04

3. Characteristic polynomials of symmetric matrices;Linear and Multilinear Algebra;1994-04

4. Algebraic number fields;Journal of Soviet Mathematics;1987-08

5. Representation of the direct sum of two quadratic fields by rational symmetric matrices;Journal of Soviet Mathematics;1981-05

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