Operad: Lambda

abbreviation

Λ

category

dgvec

type

symetrique

dimensions

1, 2-t, 2*t^2 - 9*t + 9, -6*t^3 + 44*t^2 - 96*t + 64

Formula: prod(n - k*t for k in range(1, n))

properties

binary, quadratic

Koszul dual operad

Pasc

generateurs

• generator < of type s[1]**2 of degree 0
• generator c of type s[1, 1] of degree 1

relations

• equality: (x<y)<z-x<(y<z) = (x<z)<y-x<(z<y)
• relation: (xcy)cz+(ycz)cx+(zcx)cy
• equality: (xcy)<z = (x<z)cy + xc(y<z)

morphisms

→ PreLie

References

• F. Chapoton, 2002 ↗