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Matematicheskie Zametki, 2002, Volume 71, Issue 3, Pages 412–430
DOI: https://doi.org/10.4213/mzm356 (Mi mzm356) 		 
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
Full-text PDF (296 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm356
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
English version:
Mathematical Notes, 2002, Volume 71, Issue 3, Pages 374–391
DOI: https://doi.org/10.1023/A:1014803008920
Bibliographic databases:
UDC: 514.174.6+519.112.7
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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