Hopf Algebras

Kauri implements six Hopf algebras on rooted trees: the Butcher–Connes–Kreimer algebra (BCK Hopf Algebra), the Calaque–Ebrahimi-Fard–Manchon extraction-contraction algebra (CEM Hopf Algebra), and the Grossman–Larson algebra (Grossman–Larson Hopf Algebra) for non-planar trees, together with their planar (ordered) counterparts NCK Hopf Algebra, Planar Grossman–Larson Hopf Algebra, and the Munthe-Kaas–Wright algebra (MKW Hopf Algebra).

• BCK Hopf Algebra
• CEM Hopf Algebra
• Grossman–Larson Hopf Algebra
• MKW Hopf Algebra
• NCK Hopf Algebra
• Planar Grossman–Larson Hopf Algebra