Hopf Algebras in Combinatorics

Question

I know that many examples of Hopf algebras that come from combinatorics. But I'm interested in knowing how Hopf algebras are applied in solving combinatorial problem.

Are there examples of open problems in combinatorics which were finally solved using techniques from Hopf algebras?

Or where Hopf Algebra has been used to get alternative proofs of already known combinatorial results?

Gian-Carlo Rota, Hopf algebra methods in combinatorics sounds relevant — Grigory M, Nov 07 '13 at 11:08
https://www.youtube.com/playlist?list=PL-XzhVrXIVeRLeezwY9h4M68k6yB3yOo- :-) — Martin Brandenburg, Jul 24 '15 at 07:25

score 2 · Answer 1 · answered Nov 04 '13 at 21:17

2

I can't answer your question but one person who is probably only using Hopf Algebras for applications to combinatorics is Persi Diaconis.

See a nice paper by Diaconis, Pang and Ram here: http://arxiv.org/pdf/1206.3620.pdf

answered Nov 04 '13 at 21:17

JP McCarthy

8,209

See also the research of Sam Hsiao and Marcelo Aguiar. – Jim Belk Nov 11 '13 at 06:24

Hopf Algebras in Combinatorics

1 Answers1