The product of trees in the Loday-Ronco algebra through Catalan alternative tableaux

Details The product of trees in the Loday-Ronco algebra through Catalan alternative tableaux The product of trees in the Loday-Ronco algebra through Catalan alternative tableaux

2009-12-04

arxiv.org/abs/0912.0798v1

Mathematics

Combinatorics

Scientific paper

The aim of this note is to show how the introduction of certain tableaux,
called Catalan alternative tableaux, provides a very simple and elegant
description of the product in the Hopf algebra of binary trees defined by Loday
and Ronco. Moreover, we use this description to introduce a new associative
product on the space of binary trees.

Affiliated with

Also associated with

No associations

Rating

The product of trees in the Loday-Ronco algebra through Catalan alternative tableaux 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 product of trees in the Loday-Ronco algebra through Catalan alternative tableaux, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The product of trees in the Loday-Ronco algebra through Catalan alternative tableaux will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-420303