Operad: Permutative

abbreviation

Perm

category

set

type

symetrique

dimensions

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

OEIS: A000027

Formula: n

Serie: x*exp(x)

properties

Koszul, binary, quadratic, anticyclic

Koszul dual operad

PreLie

generateurs

• generator * of type s[1]**2

relations

• equality: (x*y)*z = x*(y*z)
• equality: x*(y*z) = x*(z*y)

morphisms

→ Com, → Pasc

References

• F. Chapoton, 2001 ↗ ↗