A Hopf algebra of subword complexes
Combinatorics
2016-11-08 v1 Rings and Algebras
Abstract
We introduce a Hopf algebra structure of subword complexes, including both finite and infinite types. We present an explicit cancellation free formula for the antipode using acyclic orientations of certain graphs, and show that this Hopf algebra induces a natural non-trivial sub-Hopf algebra on -clusters in the theory of cluster algebras.
Cite
@article{arxiv.1508.01465,
title = {A Hopf algebra of subword complexes},
author = {Nantel Bergeron and Cesar Ceballos},
journal= {arXiv preprint arXiv:1508.01465},
year = {2016}
}
Comments
Several color figures, 31 pages