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Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras

Published online by Cambridge University Press:  01 February 2010

Claus Fieker  and
Willem A. de Graaf
Claus Fieker
Affiliation:
School of Mathematics and Statistics, University of Sydney, Australia, claus@maths.usyd.edu.au, http://magma.maths.usyd.edu.au/users/claus
Willem A. de Graaf
Affiliation:
Dipartimento di Matematica, Università di Trento, Italy, degraaf@science.unitn.it, http://www.science.unitn.it/~degraaf/

Abstract

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Abstract:We give an algorithm for finding the module of linear dependencies of the roots of a monic integral polynomial. Using this, we describe an algorithm for constructing the algebraic hull of a given matrix Lie algebra in characteristic zero.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 10 , 2007 , pp. 271 - 287
Copyright
Copyright © London Mathematical Society 2007

References

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