Reflection subgroups of finite and affine Weyl groups

Details Reflection subgroups of finite and affine Weyl groups Reflection subgroups of finite and affine Weyl groups

2009-09-02

arxiv.org/abs/0909.0321v1

Mathematics

Group Theory

Scientific paper

We discuss the classification of reflection subgroups of finite and affine Weyl groups from the point of view of their root systems. A short case free proof is given of the well known classification of the isomorphism classes of reflection subgroups using completed Dynkin diagrams, for which there seems to be no convenient source in the literature. This is used as a basis for treating the affine case, where finer classifications of reflection subgroups are given, and combinatorial aspects of root systems are shown to appear. Various parameter sets for certain types of subsets of roots are interpreted in terms of alcove geometry and the Tits cone, and combinatorial identities are derived.

Affiliated with

Also associated with

No associations

Rating

Reflection subgroups of finite and affine Weyl groups 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 Reflection subgroups of finite and affine Weyl groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reflection subgroups of finite and affine Weyl groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-11844