Operad: Nijenhuis

abbreviation

Nij

category

dgvec

type

symetrique

dimensions

1, 2 - t

properties

Koszul, binary, quadratic

generateurs

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

relations

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

morphisms

→ PreLie

References

• S. Merkulov, 2005 ↗
• H. Strohmayer, 2008 ↗