Classification of positive definite lattices

Details Classification of positive definite lattices Classification of positive definite lattices

1999-12-30

arxiv.org/abs/math/9912236v1

Mathematics

Number Theory

35 pages, plain TeX

Scientific paper

In this paper we describe an algorithm for classifying orbits of vectors in Lorentzian lattices. The main point of this is that isomorphism classes of positive definite lattices in some genus often correspond to orbits of vectors in some Lorentzian lattice, so we can classify some positive definite lattices. As an application we give the classification of the 665 25-dimensional unimodular positive definite lattices and the 121 even 25 dimensional positive definite lattices of determinant 2. We also use this algorithm to show that there is a unique 26 dimensional unimodular positive definite lattice with no roots.

Affiliated with

Also associated with

No associations

Rating

Classification of positive definite lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Classification of positive definite lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classification of positive definite lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-505059