Show code: [gcaops]

The sea of Poisson Structures and its Graph Complex flows

Index » Nambu–Poisson structure on $\mathbb{R}^3$

Alternative names:
  • Jacobian Poisson Structure (JPS) on $\mathbb{R}^3$
Tags:-
References:-

Definition

Formula:$P = [\frac{\partial}{\partial x} \wedge \frac{\partial}{\partial y} \wedge \frac{\partial}{\partial z}, u]$ where $u \in C^\infty(\mathbb{R}^3)$ is arbitrary.
Code (gcaops):
S.<xi1,xi2,xi3> = SuperfunctionAlgebra(SR, var('x,y,z'), simplify='expand', is_zero='is_trivial_zero')
P = (xi1*xi2*xi3).bracket(S(function('u')(x,y,z)))

Deformations

No deformations have been stored in the database so far.