Operad: Flexible Lie-Admissible

abbreviation

FlexLieAdm

category

vec

type

symetrique

dimensions

1, 2, 8, 48, 384, 3841

OEIS: A370677

properties

binary, quadratic, non-Koszul

generateurs

• generator * of type s[1]**2

relations

• equality: (x*y)*z + (z*y)*x = x*(y*z) + z*(y*x)
• 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

→ As

References

• Myung, Hyo Chul, 1971 ↗