The combinatorics of Coxeter categories

Details The combinatorics of Coxeter categories The combinatorics of Coxeter categories

2005-12-08

arxiv.org/abs/math/0512176v3

Trans. Amer. Math. Soc. 360 (2008), 4211-4233

Mathematics

Representation Theory

24 pages; minor revision, typos corrected. Final version to appear in Trans. Amer. Math. Soc

Scientific paper

We present an alternative construction of Soergel's category of bimodules associated to a reflection faithful representation of a Coxeter system. We show that its objects can be viewed as sheaves on the associated moment graph. We introduce an exact structure and show that Soergel's "special" bimodules are the projective objects. Then we construct the indecomposable projectives by both a global and a local method, discuss a version of the Kazhdan-Lusztig conjecture and prove it for universal Coxeter systems.

Affiliated with

Also associated with

No associations

Rating

The combinatorics of Coxeter categories 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 The combinatorics of Coxeter categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The combinatorics of Coxeter categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-443254