Rootless pairs of $EE_8$-lattices

Details Rootless pairs of $EE_8$-lattices Rootless pairs of $EE_8$-lattices

2008-06-14

arxiv.org/abs/0806.2375v1

Mathematics

Representation Theory

87 pages, many figures

Scientific paper

We describe a classification of pairs $M, N$ of lattices isometric to $EE_8:=\sqrt 2 E_8$ such that the lattice $M + N$ is integral and rootless and such that the dihedral group associated to them has order at most 12. It turns out that most of these pairs may be embedded in the Leech lattice. Complete proofs will appear in another article. This theory of integral lattices has connections to vertex operator algebra theory and moonshine.

Affiliated with

Also associated with

No associations

Rating

Rootless pairs of $EE_8$-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 Rootless pairs of $EE_8$-lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rootless pairs of $EE_8$-lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-495456