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Poisson structures on (non)associative noncommutative algebras and integrable Kontsevich type Hamiltonian systems
Authors:
- Oksana E. Hentosh,
- Alexander A. Balinsky,
- Anatolij K. Prykarpatski
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.
- Record ID
- CUTbd68996b6dc04d35881b9ba2113d60b7
- Publication categories
- ;
- Author
- Journal series
- Annals of Mathematics and Physics, ISSN 2689-7636
- Issue year
- 2020
- Vol
- 3
- No
- 1
- Pages
- [1-6]
- Article number
- AMP-3-110
- Other elements of collation
- Bibliografia (na s.) - 5-6; Bibliografia (liczba pozycji) - 40; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 3, Iss. 1
- Keywords in English
- Hamilton system
- DOI
- DOI:10.17352/amp.000010 Opening in a new tab
- URL
- https://www.peertechz.com/abstracts/poisson-structures-on-non-associative-noncommutative-algebras-and-integrable-kontsevich-type-hamiltonian-systems Opening in a new tab
- Related project
- Teoria równań i nierówności różniczkowych, układy dynamiczne na rozmaitościach, wybrane działy: analizy matematycznej topologii algebry i geometrii oraz probabilistyki teorii grafów i liczb. . Project leader at PK: , ,
Działalność statutowa - Language
- eng (en) English
- License
- Score (nominal)
- 5
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTbd68996b6dc04d35881b9ba2113d60b7/
- URN
urn:pkr-prod:CUTbd68996b6dc04d35881b9ba2113d60b7
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.