Integral lattices associated with a finite affine group

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Abstract

This paper deals with positive definite integral lattices of dimension Card(V)-1 associated with a finite affine group V. GL(V) (and some of its subgroups). The invariant sublattices are described to within similarity. Duality in the class of invariant lattices is studied. The unimodular lattices are distinguished.

Original languageEnglish
Pages (from-to)431-443
Number of pages13
JournalSbornik Mathematics
Volume83
Issue number2
DOIs
Publication statusPublished - Feb 28 1995
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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