Operad: Dual Hochschild

abbreviation

Hoch!

category

vec

type

non-symetrique

dimensions

1, 2, 2, 2, 2, 2, 2

OEIS: A040000

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

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

properties

binary, quadratic, Koszul, cyclic

Koszul dual operad

Hoch

generateurs

• generator * of arity 2
• generator ⊚ of arity 2

relations

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

References