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Operad: Lie-Griess

abbreviation
LieGriess
category
dgvec
type
symetrique
dimensions

1, 1 - t, 2 - 5*t + 3*t^2, 6 - 26*t + 35*t^2 - 15*t^3

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

properties
binary, quadratic, Koszul
Koszul dual operad
LieGriess!
generateurs
  • generator L of type s[1,1] of degree 0
  • generator Ω of type s[1,1] of degree 1
relations
  • relation: (xLy)Lz+(yLz)Lx+(zLx)Ly
  • relation: xΩ(yLz)+xL(yΩz)+yΩ(zLx)+yL(zΩx)+zΩ(xLy)+zL(xΩy)

References