Mixable shuffles, quasi-shuffles and Hopf algebras

Kurusch Ebrahimi-Fard, Li Guo

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


The quasi-shuffle product and mixable shuffle product are both generalizations of the shuffle product and have both been studied quite extensively recently. We relate these two generalizations and realize quasi-shuffle product algebras as subalgebras of mixable shuffle product algebras. As an application, we obtain Hopf algebra structures in free Rota-Baxter algebras.

Original languageEnglish (US)
Pages (from-to)83-101
Number of pages19
JournalJournal of Algebraic Combinatorics
Issue number1
StatePublished - Aug 2006

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Algebra and Number Theory


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