Operad: Greg

abbreviation

Greg

category

Zvec

type

symetrique

dimensions

1, 3, 22, 262, 4336, 91984

OEIS: A005264

Serie: ((1+2*x)*(-x).exp()-1).reverse()

properties

binary, quadratic, Koszul, NielsenSchreier

Koszul dual operad

Greg!

generateurs

• generator > of type s[1]**2
• generator * of type s[1,1]

relations

• equality: (x>y)>z - x>(y>z) = (x>z)>y - x>(z>y)
• equality: (x*y)>z - (x>z)*y - x*(y>z) = (x*z)>y - (x>y)*z - x*(z>y)

morphisms

→ ComPreLie, → ComMag, → PreLie

References

• P. Laubie, 2023 ↗