This article is cited in 3 papers

Integral lattices associated with a finite affine group

K. S. Abdukhalikov


Abstract: This paper deals with positive definite integral lattices of dimension $\operatorname{Card}(V)-1$ associated with a finite affine group $V\cdot\operatorname{GL}(V)$ (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.

UDC: 512.54

MSC: Primary 11H56; Secondary 11H31

Received: 11.01.1994

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1995, 83:2, 431–443

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