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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)

Actions: s[1], s[1, 1] + s[2], s[2, 1] + s[3], s[3, 1] + s[4], s[4, 1] + s[5], s[5, 1] + s[6]

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