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On the decomposition of integral lattices

Published online by Cambridge University Press:  17 April 2009

Thomas Bier
Thomas Bier
Affiliation:
Department of Mathematics, National University of Singapore, Kent Ridge, Singapore, 0511
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Abstract

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The purpose of this note is to record a few formulas relating the indices of various lattices and sublattices all arising from the decomposition of a euclidean space E into three mutually orthogonal subspaces E = E0 ⊥ E1 ⊥ E2 which are rational with respect to a given lattice Λ ⊂ E. In the case that Λ is unimodular these formulas simplify to give very simple identities between various intersection lattices.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 1 , August 1986 , pp. 73 - 78
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Bier, Th., “A product formula for Euler's totient”, Bull. London Math. Soc. (to appear).Google Scholar