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Operad: Dual 2-associative

abbreviation
2as!
category
Zvec
type
non-symetrique
dimensions

1, 2, 2, 2, 2, 2, 2

OEIS: A040000

Formula: lambda n: 1 if n <= 1 else 2

Serie: (x+x**2)/(1-x)

properties
Koszul, binary, quadratic, cyclic
Koszul dual operad
2as
generateurs
  • generator a of arity 2
  • generator b of arity 2
relations
  • equality: (xay)az = xa(yaz)
  • equality: (xby)bz = xb(ybz)
  • relation: (xay)bz
  • relation: (xby)az
  • relation: xa(ybz)
  • relation: xb(yaz)
morphisms
→ As, → As

References