Unimodular lattices in dimensions 14 and 15 over the eisenstein integers

Kanat Abdukhalikov, Rudolf Scharlau

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

All indecomposable unimodular hermitian lattices in dimensions 14 and 15 over the ring of integers in ℚ(√-3) arc determined. Precisely one lattice in dimension 14 and two lattices in dimension 15 have minimal norm 3.

Original languageEnglish
Pages (from-to)387-403
Number of pages17
JournalMathematics of Computation
Volume78
Issue number265
DOIs
Publication statusPublished - 2009
Externally publishedYes

Keywords

  • Extremal lattice
  • Hermitian lattice
  • Integral lattice
  • Root system
  • Unimodular lattice

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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