On the Y555 complex reflection group

Details On the Y555 complex reflection group On the Y555 complex reflection group

2008-02-08

arxiv.org/abs/0802.1082v1

Mathematics

Group Theory

16 pages; submitted

Scientific paper

We give a computer-free proof of a theorem of Basak, describing the group generated by 16 complex reflections of order 3, satisfying the braid and commutation relations of the Y555 diagram. The group is the full isometry group of a certain lattice of signature (13,1) over the Eisenstein integers Z[cube root of 1]. Along the way we enumerate the cusps of this lattice and classify the root and Niemeier lattices over this ring.

Affiliated with

Also associated with

No associations

Rating

On the Y555 complex reflection group 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 On the Y555 complex reflection group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Y555 complex reflection group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-508033