Incidence Categories

Details Incidence Categories Incidence Categories

2009-10-28

arxiv.org/abs/0910.5387v1

Mathematics

Quantum Algebra

Scientific paper

Given a family $\F$ of posets closed under disjoint unions and the operation of taking convex subposets, we construct a category $\C_{\F}$ called the \emph{incidence category of $\F$}. This category is "nearly abelian" in the sense that all morphisms have kernels/cokernels, and possesses a symmetric monoidal structure akin to direct sum. The Ringel-Hall algebra of $\C_{\F}$ is isomorphic to the incidence Hopf algebra of the collection $\P(\F)$ of order ideals of posets in $\F$. This construction generalizes the categories introduced by K. Kremnizer and the author In the case when $\F$ is the collection of posets coming from rooted forests or Feynman graphs.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-718422