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From cyclic algebras of quadratic fields to central polynomials

Part of: Basic linear algebra

Published online by Cambridge University Press:  09 April 2009

Olga Taussky
Olga Taussky
Affiliation:
Mathematics Department 253–37 California Institute of TechnologyPasadena, CA 91125, USA
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Abstract

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A link between norms from quadratic fields and —det (AB−BA) for 2 × 2 matrices is reformulated via central polynomials and thereby generalized.

MSC classification

Secondary: 15A15: Determinants, permanents, other special matrix functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 4 , June 1978 , pp. 503 - 506
Copyright
Copyright © Australian Mathematical Society 1978

References

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Taussky, O. (1976). Two Facts concerning Rational 2x2 Matrices leading to Integral Ternary Forms representing Zero. (Seminar Notes Calif. Inst, Tech.).Google Scholar
Zassenhaus, H. (1977), “Cyclic orders” Number Theory and Algebra edited by Zassenhaus, H., (Academic Press, New York), 363–393.Google Scholar