This article is cited in 3 papers

Affine Types of $L$-Polyhedra for 5-lattices

P. G. Kononenko

Ivanovo State University

Abstract: We construct an algorithm for deducing all affinely nonequivalent types of $L$-polyhedra on $n$-lattices, where $n\le 5$. The computational part of the algorithm designed for calculations on a personal computer is based on the relationship between the geometry of lattices and the theory of hypermetric spaces. For the first time, a complete list of affine types (139 types) of $L$-polyhedra on 5-lattices is obtained.

UDC: 514.174.6+519.112.7

Received: 26.04.1999
Revised: 10.10.2001

DOI: 10.4213/mzm356

 English version: Mathematical Notes, 2002, 71:3, 374–391

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