Operad: Dual Duplicial

abbreviation

Dup!

category

vec

type

non-symetrique

dimensions

1, 2, 3, 4, 5, 6

OEIS: A000027

Formula: n

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

properties

Koszul, binary, quadratic

Koszul dual operad

Dup

generateurs

• generator < of arity 2
• generator > of arity 2

relations

• relation: (x<y)<z-x<(y<z)
• relation: (x<y)>z
• relation: x<(y>z)
• relation: (x>y)<z-x>(y<z)
• relation: (x>y)>z-x>(y>z)

morphisms

→ 2as

References

• J.-L. Loday, 2008 ↗