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A generalization of some lattices of Coxeter

Published online by Cambridge University Press:  26 February 2010

Anne-Marie Bergé and
Jacques Martinet
Anne-Marie Bergé
Affiliation:
Inst. Math., Université Bordeaux 1, 351, U. S. A., and cours de la Libération, 33405 Talence cedex, France, E-mail: berge@math.u-bordeaux.fr
Jacques Martinet
Affiliation:
Inst. Math., Université Bordeaux 1, 351, cours de la Libération, 33405 Talence cedex, France, E-mail: martinet@math.u-bordeaux.fr
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Abstract

This paper introduces a wide generalization of a family of integral lattices defined by Coxeter, which share with the Coxeter lattices the following properties: they are perfect, often with an odd minimum, and have no non-trivial perfect sections with the same minimum.

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Type
Research Article
Information
Mathematika , Volume 51 , Issue 1-2 , December 2004, pp. 49 - 61
Copyright
Copyright © University College London 2004

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References

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