Midwest cousins of Barnes-Wall lattices |
| |
Authors: | Robert L. Griess Jr. |
| |
Affiliation: | Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA |
| |
Abstract: | Given a rational lattice and suitable set of linear transformations, we construct a cousin lattice. Sufficient conditions are given for integrality, evenness and unimodularity. When the input is a Barnes-Wall lattice, we get multi-parameter series of cousins. There is a subseries consisting of unimodular lattices which have ranks 2d−1±2d−k−1, for odd integers d?3 and integers . Their minimum norms are moderately high: . |
| |
Keywords: | Even integral lattice Minimum norm Barnes-Wall Finite group 2/4 generation Commutator density |
本文献已被 ScienceDirect 等数据库收录! |
|