On Perfection Relations in Lattices

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Let $\Lb$ be a lattice in a Euclidean space $E$, with kissing number $s$ and perfection rank $r$, that is, the rank in $\End^{\text{sym}}(E)$ of the set of orthogonal projections to minimal vectors of $\Lb$. This defines a space of \emph{perfection relations}, of dimension $s-r$. We focus on ``short relations'', in connection with the index theory, previously developed by Watson, Ryškov, Zahareva and the second author in [W], [R], [Z] and [M1].
26 pages

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Number Theory, 11H55

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http://salesiana.dossiersoluciones.com/handle/123456789/119182

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611220
 http://arxiv.org/abs/math/0611220

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arXiv