Concept information
Preferred term
Poisson algebra
Definition
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In mathematics, a Poisson algebra is an associative algebra together with a Lie bracket that also satisfies Leibniz's 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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Poisson_algebra)
Broader concept
Narrower concepts
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-C0XG1KK7-F
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