On the Classification of Lattices Overℚ(-3)Which Are Even Unimodularℤ-Lattices of Rank 32

AndreasHenn; MichaelHentschel; AloysKrieg; GabrieleNebe

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On the Classification of Lattices Overℚ(-3)Which Are Even Unimodularℤ-Lattices of Rank 32

机译：关于第（32）位阶为单模ℤ-格的ℚ（-3）格的分类

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摘要

We classify the lattices of rank 16 over the Eisenstein integers which are even unimodularℤ-lattices (of dimension 32). There are exactly 80 unitary isometry classes.

机译：我们将Eisenstein整数上的16位晶格分类，这些Eisenstein整数甚至是单模ℤ晶格（尺寸为32）。精确地有80个单一等距类。

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《International journal of mathematics and mathematical sciences 》 |2013年第4期| 共4页
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AndreasHenn; MichaelHentschel; AloysKrieg; GabrieleNebe;
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中图分类数学 ;
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1. On the classification of lattices over Q(√- 3) which are even unimodular Z-lattices of rank 32 [J] . Henn A., Hentschel M., Krieg A., International journal of mathematics and mathematical sciences . 2013 ,第2期

机译：关于Q（√-3）上的格的分类，它们是32阶单模Z格
2. Classification of Stably Reflective Hyperbolic Z[root 2]-Lattices of Rank 4 [J] . Bogachev N. V. Doklady. Mathematics . 2019 ,第3期

机译：稳定反射双曲Z [根2]的分类 - 秩4的级别
3. Classification of (1,2)-reflective anisotropic hyperbolic lattices of rank 4 [J] . Bogachev N. V. Izvestiya. Mathematics . 2019 ,第1期

机译：（1,2）-reflective的各向异性双曲格子排名4的分类
4. Stack Filter Lattices and Rank Selection Probabilities [C] . Liangchien Lin, Adams, G.B. . 1993

机译：堆栈过滤器格和等级选择概率
5. Qi-embedding rigidity of nonuniform lattices in higher rank simple Lie groups. [D] . Nguyen, Thang. 2016

机译：高阶简单李群中非均匀晶格的齐嵌入刚度。
6. Mapping the interactions of the single-stranded DNA binding protein of bacteriophage T4 (gp32) with DNA lattices at single nucleotide resolution: gp32 monomer binding [O] . Davis Jose, Steven E. Weitzel, Walter A. Baase, 2015

机译：映射噬菌体T4（gp32）的单链DNA结合蛋白与DNA晶格在单核苷酸分辨率下的相互作用：gp32单体结合
7. Classification of Two Genera of 32-Dimensional Lattices of Rank 8 over the Hurwitz Order [O] . Christine Bachoc, Gabriele Nebe 1997

机译：Hurwitz阶的8类32维格的两个属的分类

On the Classification of Lattices Overℚ(-3)Which Are Even Unimodularℤ-Lattices of Rank 32

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