Operad: noncommutative Gerstenhaber

abbreviation

ncGerst

category

dgvec

type

non-symetrique

dimensions

1, 1 - t, 1-2*t+t**2

properties

binary, quadratic, Koszul

Koszul dual operad

ncGerst

generateurs

• generator m of arity 2 of degree 0
• generator b of arity 2 of degree 1

relations

• equality: (xmy)mz = xm(ymz)
• equality: (xby)mz = xb(ymz)
• equality: (xmy)bz = xm(ybz)
• equality: (xby)bz = xb(ybz)

References

• V. Dotsenko, S. Shadrin, B. Vallette, 2015 ↗