Brick polytopes of spherical subword complexes: A new approach to generalized associahedra

Details Brick polytopes of spherical subword complexes: A new approach to generalized associahedra Brick polytopes of spherical subword complexes: A new approach to generalized associahedra

2011-11-14

arxiv.org/abs/1111.3349v2

Mathematics

Combinatorics

45 pages, 22 figures. v2: detailed description of bijective connections and spanning tree description added, improvements in p

Scientific paper

We generalize the brick polytope of V. Pilaud and F. Santos to spherical subword complexes for finite Coxeter groups. This construction provides polytopal realizations for a certain class of subword complexes containing all cluster complexes of finite types. For the latter, the brick polytopes turn out to coincide with the known realizations of generalized associahedra, thus opening new perspectives on these constructions. This new approach yields in particular the vertex description of generalized associahedra, and a Minkowski sum decomposition into Coxeter matroid polytopes.

Affiliated with

Also associated with

No associations

Rating

Brick polytopes of spherical subword complexes: A new approach to generalized associahedra 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 Brick polytopes of spherical subword complexes: A new approach to generalized associahedra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Brick polytopes of spherical subword complexes: A new approach to generalized associahedra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-707858