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Poisson and double Poisson brackets

asked 2022-12-08 08:39:21 +0200

How can one use some standard Poisson and double Poisson brackets in sagemath?

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What are "some standard", and how do you want to use them? To do what?

rburing gravatar imagerburing ( 2022-12-11 19:40:40 +0200 )edit

I am mostly interested in the linear double Poisson bracket on the algebra of noncommutative polynomials in n variables which comes from the usual multiplication in the ring \mathbb{C}^n. Of course, for that I don’t need specific packages or anything else, but I was wondering if there are built-in solutions for (double) Poisson brackets.

Nikita_Safonkin gravatar imageNikita_Safonkin ( 2022-12-20 10:03:08 +0200 )edit

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answered 2022-12-11 15:02:40 +0200

eric_g gravatar image

Does the method poisson_bracket cover your needs?

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Unfortunately, no, because I don’t need symplectic manifolds but I do need double Poisson brackets on noncommutative algebras.

Nikita_Safonkin gravatar imageNikita_Safonkin ( 2022-12-20 10:05:44 +0200 )edit

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Asked: 2022-12-08 08:38:44 +0200

Seen: 181 times

Last updated: Dec 11 '22