Operad: Dual Lie-Griess

abbreviation

LieGriess!

category

dgvec

type

symetrique

dimensions

1, 1 - t, 1 - t, 1 - t

Serie: (1-t)*(exp(x)-1)+x*t

properties

binary, quadratic, Koszul

Koszul dual operad

LieGriess

generateurs

• generator C of type s[2] of degree 0
• generator Ω of type s[2] of degree 1

relations

• equality: (xCy)Cz = xC(yCz)
• relation: (xΩy)Ωz
• equality: (xCy)Ωz = xΩ(yCz)
• equality: (xCy)Ωz = (xΩy)Cz

References

• V. Dotsenko and A. Khoroshkin, 2010 ↗ ↗