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Topic: SuperPoisson algebra

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Antibracket algebra

Poisson bracket

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	Poisson bracket - Wikipedia, the free encyclopedia
		In a more general setting, the Poisson bracket is used to define a Poisson algebra, of which the Poisson manifolds are a special case.
		The corresponding Lie group is the group of symplectomorphisms of the symplectic manifold (also known as canonical transformations).
		The conjugate momentum mapping is a Lie algebra anti-homomorphism from the Poisson bracket to the Lie bracket:
	en.wikipedia.org /wiki/Poisson_bracket (593 words)

	Poisson superalgebra - Indopedia, the Indological knowledgebase
		turns A into an associative algebra, [,] turns A into a Lie superalgebra and the superLeibniz law stating that for any pure element x, [x,.] is a derivation/antiderivation.
		The other is to define an antibracket algebra instead.
		See also Poisson algebra, Poisson supermanifold, antibracket algebra, Lie superalgebra, associative algebra, supercommutative algebra.
	www.indopedia.org /SuperPoisson_algebra.html (255 words)

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