Operad: Assosymetrique

abbreviation

AssoSym

category

vec

type

symetrique

dimensions

1, 2, 7, 29, 136, 762, 5139, 40539

Formula: factorial(n)+2**n-binomial(n+1,2)-1

properties

binary, quadratic, non-Koszul

generateurs

• generator * of type s[1]**2

relations

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

References

• Hentzel, Jacobs, Peresi, 1996 ↗
• Dzhumadildaev et Zhakayev, 2018 ↗