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1997 Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order
Christine Bachoc, Gabriele Nebe
Experiment. Math. 6(2): 151-162 (1997).

Abstract

A generalization of Kneser's neighboring method allows us to classify two interesting genera at the same time. The new method is used to determine the genus of Hermitian unimodular lattices of rank 8 over the Hurwitz order $\MM $ and the genus of those $\MM $-lattices corresponding to unimodular $\Z$-lattices.

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Christine Bachoc. Gabriele Nebe. "Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order." Experiment. Math. 6 (2) 151 - 162, 1997.

Information

Published: 1997
First available in Project Euclid: 14 March 2003

zbMATH: 0886.11021
MathSciNet: MR1474575

Subjects:
Primary: 11H06

Rights: Copyright © 1997 A K Peters, Ltd.

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Vol.6 • No. 2 • 1997
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