DOAJ Open Access 2020

A Hopf algebra of subword complexes (Extended abstract)

Nantel Bergeron Cesar Ceballos

Abstrak

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 c-clusters in the theory of cluster algebras.

Topik & Kata Kunci

Penulis (2)

N

Nantel Bergeron

C

Cesar Ceballos

Format Sitasi

Bergeron, N., Ceballos, C. (2020). A Hopf algebra of subword complexes (Extended abstract). https://doi.org/10.46298/dmtcs.6359

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6359
Informasi Jurnal
Tahun Terbit
2020
Sumber Database
DOAJ
DOI
10.46298/dmtcs.6359
Akses
Open Access ✓