Operad: Dual Alia

abbreviation

Alia!

category

vec

type

symetrique

dimensions

1, 2, 1, 0, 0, 0

Serie: x+x**2+x**3/6

properties

binary, quadratic, Koszul

Koszul dual operad

Alia

generateurs

• generator * of type s[1]**2

relations

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

morphisms

→ SkewMag!, → ComMag!

References