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Hamilton operators and related integrable differential algebraic Novikov–Leibniz type structures
Authors:
- Anatolij K. Prykarpatski
Abstract
There is devised a general differential-algebraic approach to constructing multi-component Hamiltonian operators as classical Lie–Poisson structures on the suitably constructed adjacent loop Lie co-algebras. The related Novikov–Leibniz type algebraic structures are derived, a new nonassociative right Leibniz and Riemann algebra is constructed, deeply related with infinite multi-component Riemann type integrable hydrodynamic hierarchies.
- Record ID
- CUTe85cde96eb0d46f7a3b9b97e651d9a47
- Publication categories
- ; ;
- Author
- Pages
- 87-94
- Other elements of collation
- Bibliografia (na s.) - 94; Bibliografia (liczba pozycji) - 13; Oznaczenie streszczenia - Abstr.
- Book
- Kielanowski Piotr, Piotr Kielanowski Odzijewicz Anatol, Anatol Odzijewicz Previato Emma Emma Previato (eds.): Geometric Methods in Physics XXXV : Workshop and Summer School, Białowieża, Poland, June 26 - July 2, 2016, Trends in Mathematics, 2018, Cham, Springer, Springer International Publishing, ISBN 978-3-319-63594-1 (eBook)
- Keywords in English
- poisson brackets, Hamiltonian operators, differential algebras, differentiations, loop-algebra, Novikov algebra, right Leibniz algebra, Riemann algebra, Riemann type hydrodynamic hierarchy, integrability
- DOI
- DOI:10.6464645744856685865 Opening in a new tab
- URL
- https://link.springer.com/chapter/10.1007/978-3-319-63594-1_10 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 20
- Additional fields
- Indeksowana w: Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTe85cde96eb0d46f7a3b9b97e651d9a47/
- URN
urn:pkr-prod:CUTe85cde96eb0d46f7a3b9b97e651d9a47
* 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.