Poisson structures on (non)associative noncommutative algebras and integrable Kontsevich type Hamiltonian systems

Hentosh, Oksana E., Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462 and Prykarpatski, Anatolij K. 2020. Poisson structures on (non)associative noncommutative algebras and integrable Kontsevich type Hamiltonian systems. Annals of Mathematics and Physics 3 (1) , 001-006. 10.17352/amp.000010

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Abstract

We have revisited the classical Poisson manifold approach, closely related to construction of Hamiltonian operators, generated by nonassociative and noncommutative algebras. In particular, we presented its natural and simple generalization allowing effectively to describe a wide class of Lax type integrable nonlinear Kontsevich type Hamiltonian systems on associative noncommutative algebras.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
ISSN:	2689-7636
Date of First Compliant Deposit:	20 February 2020
Date of Acceptance:	29 January 2020
Last Modified:	07 May 2023 02:03
URI:	https://orca.cardiff.ac.uk/id/eprint/129852

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