Operad: CoupledNilpotent

abbreviation

CNilp

category

Zvec

type

non-symetrique

dimensions

1, 2, 1, 0, 0, 0, 0

Serie: x * (1+x) * (1+x)

properties

binary, quadratic, Koszul, cyclic

Koszul dual operad

CMag

generateurs

• generator * of arity 2 of degree 0
• generator . of arity 2 of degree 1

relations

• relation: (x*y)*z
• relation: 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)

morphisms

→ Nil2, → Nil2

References