Work

Classification of eight-dimensional perfect forms

Year: 2007

Type: article

Abstract: In this paper, we classify the perfect lattices in dimension 8 8 . There are 10916 10916 of them. Our classification heavily relies on exploiting symmetry in polyhedral computations. Here we describe algorithms making the classification possible.

Source: Electronic Research Announcements of the American Mathematical Society

DOI: 10.1090/s1079-6762-07-00171-0

Authors: Mathieu Sikirić, Achill Schürmann, Frank Vallentin

Institutions: Ruđer Bošković Institute, Otto-von-Guericke-Universität Magdeburg, Centrum Wiskunde & Informatica

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Minerva Foundation, Deutsche Forschungsgemeinschaft, Nederlandse Organisatie voor Wetenschappelijk Onderzoek

OpenAlex ID: W1645404889