Cubist Algebras

Details Cubist Algebras Cubist Algebras

2007-10-29

arxiv.org/abs/0710.5457v1

Mathematics

Representation Theory

Scientific paper

We construct algebras from rhombohedral tilings of Euclidean space obtained as projections of certain cubical complexes. We show that these `Cubist algebras' satisfy strong homological properties, such as Koszulity and quasi-heredity, reflecting the combinatorics of the tilings. We construct derived equivalences between Cubist algebras associated to local mutations in tilings. We recover as a special case the Rhombal algebras of Michael Peach and make a precise connection to weight 2 blocks of symmetric groups.

Affiliated with

Also associated with

No associations

Rating

Cubist Algebras 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 Cubist Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cubist Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-19450