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This article is cited in 3 scientific papers (total 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.
Received: 26.04.1999 Revised: 10.10.2001
Citation:
P. G. Kononenko, “Affine Types of $L$-Polyhedra for 5-lattices”, Mat. Zametki, 71:3 (2002), 412–430; Math. Notes, 71:3 (2002), 374–391
Linking options:
https://www.mathnet.ru/eng/mzm356https://doi.org/10.4213/mzm356 https://www.mathnet.ru/eng/mzm/v71/i3/p412
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Abstract page: | 472 | Full-text PDF : | 187 | References: | 63 | First page: | 1 |
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