Operad: Hochschild

abbreviation

Hoch

category

vec

type

non-symetrique

dimensions

1, 2, 6, 22, 90, 394, 1806

OEIS: A006318

Serie: (1-x-sqrt(1-6*x+x**2))/2

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 = x>(y*z)+x*(y>z)

morphisms

→ As

References

• P. Leroux, 2011 ↗ ↗