Home >> Linear and Multilinear Algebra, Volume 52, Number 5

Characteristic Elements of Unimodular -lattices

Author: Larry J. Gerstein

Source: Linear and Multilinear Algebra, Volume 52, Number 5, Sept-Oct 2004 , pp. 381-383(3)

Publisher: Taylor and Francis Ltd

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Abstract:

Characteristic elements have been useful in the classification of unimodular lattices over the integers. This article gives an explicit formula for characteristic elements of a lattice in terms of a basis for the lattice and the dual of that basis.

Keywords: Quadratic space; Unimodular lattice; Dual basis; Gram matrix; Characteristic element

Document Type: Research article

DOI: http://dx.doi.org/10.1080/03081080310001649556

Publication date: 2004-09-01

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