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On the spectra of certain matrices

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Abstract

A simple formula is given for the eigenvalues of operators defined by the regular representation of any field as an algebra over a subfield of which it is a finite extension. The adjunction of a root, in particular, is considered. By realizing the extension in terms of a transcendent over an arbitrary ground field, one introduces a free parameter which increases the scope of the method.

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Bibliography

  1. van der Waerden, B.L.: Moderne Algebra, second edition. Ungar, New York 1943.

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  2. Bourbaki, N.: Elements de Mathematique (Livre II, Algebre), troisieme edition. Hermann, Paris 1962.

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  3. Weyl, H.: Algebraic Theory of Numbers. Annals of Mathematics Studies 1. Princeton University Press, Princeton 1940.

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  4. Muir, T.: The Theory of Determinants. Dover (reprint), New York 1960.

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Authors and Affiliations

  1. The Rockefeller University, 1230 York Avenue, 10021, New York, N.Y., USA

    M. Schreiber

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  1. M. Schreiber
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Schreiber, M. On the spectra of certain matrices. Integr equ oper theory 5, 273–281 (1982). https://doi.org/10.1007/BF01694042

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  • DOI: https://doi.org/10.1007/BF01694042

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