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This article is cited in 5 scientific papers (total in 5 papers)
Volumes of $L$-simplexes of five-dimensional lattices
E. P. Baranovskii V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Abstract:
We investigate the question of nonbasic Simplexes of an $L$-subdivision of five-dimensional lattices. It is shown that, apart from the Simplexes of volume $2V$ ($V$ is the volume of the basic simplex), no other nonbasic $L$-simplexes exist in these lattices. In primitive lattices the $L$-simplexes of doubled volume abut the basic $L$-simplexes by 4-dimensional faces.
Received: 21.09.1972
Citation:
E. P. Baranovskii, “Volumes of $L$-simplexes of five-dimensional lattices”, Mat. Zametki, 13:5 (1973), 771–782; Math. Notes, 13:5 (1973), 460–466
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https://www.mathnet.ru/eng/mzm7181 https://www.mathnet.ru/eng/mzm/v13/i5/p771
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Abstract page: | 170 | Full-text PDF : | 89 | First page: | 1 |
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