{ "items" : [
    { "id" : "http://dbpedia.org/resource/Poisson_algebra"
      "properties" : {
        "http://www.w3.org/2000/01/rdf-schema#comment" : [ "In mathematics, a Poisson algebra is an associative algebra together with a Lie bracket that also satisfies Leibniz' law; that is, the bracket is also a derivation. Poisson algebras appear naturally in Hamiltonian mechanics, and are also central in the study of  quantum groups. Manifolds with a Poisson algebra structure are known as Poisson manifolds, of which the symplectic manifolds and the Poisson-Lie groups are a special case.  The algebra is named in honour of Siméon Denis Poisson."] } } }
