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Operad: Lie-admissible

abbreviation
LieAdm
category
vec
type
symetrique
dimensions

1, 2, 11, 101, 1299, 21484, 434314

OEIS: A337017

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

properties
binary, quadratic, Koszul
Koszul dual operad
LieAdm!
generateurs
  • generator * of type s[1]**2
relations
  • equality: (x*y)*z - x*(y*z) + z*(y*x) - (z*y)*x + y*(x*z) - (y*x)*z = (x*z)*y - x*(z*y) + y*(z*x) - (y*z)*x + z*(x*y) - (z*x)*y
morphisms
→ PreLie, → Lie, → ComMag, → FlexLieAdm

References