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On generation of the root lattice by roots

Published online by Cambridge University Press:  12 February 2007

SIMON M. GOODWIN
SIMON M. GOODWIN*
Affiliation:
School of Mathematics, University of Birmingham, Birmingham, B15 2TT. e-mail: goodwin@maths.bham.ac.uk
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Abstract

Let Φ be a root system and let Γ ⊆ Φ. In this short paper we prove that Γ contains a -basis of the lattice that it generates.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 1 , January 2007 , pp. 41 - 45
Copyright
Copyright © Cambridge Philosophical Society 2007

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References

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