Gerstenhaber algebra

It appears also in the generalization of Hamiltonian formalism known as the De Donder–Weyl theory as the algebra of generalized Poisson brackets defined on differential forms.

Everything is understood to satisfy the usual superalgebra sign conventions.

More precisely, the algebra has two products, one written as ordinary multiplication and one written as [,], and a Z-grading called degree (in theoretical physics sometimes called ghost number).

The Jacobi identity may also be expressed in a symmetrical form

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