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Operad: Dual Diptere

abbreviation
Dipt!
category
vec
type
non-symetrique
dimensions

1, 2, 2, 2, 2, 2

OEIS: A040000

Formula: lambda n: 1 if n <= 1 else 2

Serie: (x+x**2)/(1-x)

properties
Koszul, binary, quadratic
Koszul dual operad
Dipt
generateurs
  • generator ⊣ of arity 2
  • generator * of arity 2
relations
  • equality: (x*y)*z = x*(y*z)
  • equality: (x⊣y)⊣z = x⊣(y*z)
  • relation: (x*y)⊣z
  • relation: (x⊣y)*z
  • relation: x*(y⊣z)
  • relation: x⊣(y⊣z)

References