Operad: Alternative

abbreviations

Alt, Altern

category

vec

type

symetrique

dimensions

1, 2, 7, 32, 175, 1080, 7294

OEIS: A161392

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)

morphisms

→ As

References

• I. Shestakov, 2004 ↗
• V. Dotsenko, 2025 (private communication)