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Operad: Lie Triple

abbreviations
LTS, LieTriple
category
vec
type
symetrique
dimensions

1, 0, 2, 0, 24, 0, 720

OEIS: A005359

Formula: lambda n: factorial(n-1) if n % 2 == 1 else 0

properties
ternary, quadratic, Koszul
generateurs
  • generator # of type s[2,1] + s[1,1,1]
relations
  • relation: (x#y#z)+(y#z#x)+(z#x#y)
  • equality: x#y#(z#u#v) = (x#y#z)#u#v+z#(x#y#u)#v+z#u#(x#y#v)
morphisms
↣ Lie

References