Auslander-Reiten quivers and the Coxeter complex

Details Auslander-Reiten quivers and the Coxeter complex Auslander-Reiten quivers and the Coxeter complex

2002-08-13

arxiv.org/abs/math/0208098v1

Mathematics

Quantum Algebra

19 pages. Revised version of SDAD preprint 2001-25. Submitted to Algebra and Representation Theory. LaTeX2e, uses epic, eepic

Scientific paper

Let Q be a quiver of type ADE. We construct the corresponding Auslander-Reiten quiver as a topological complex inside the Coxeter complex associated with the underlying Dynkin diagram. We use the notion of chamber weights coming from the theory of the canonical basis of quantized envelopping algebras, and show this set has a special linearity property in our setting. Finally, we consider A_n case, and describe how Auslander-Reiten quivers correspond to particular wiring diagrams.

Affiliated with

Also associated with

No associations

Rating

Auslander-Reiten quivers and the Coxeter complex 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 Auslander-Reiten quivers and the Coxeter complex, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Auslander-Reiten quivers and the Coxeter complex will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-579986