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

Oksana E Hentosh, Alexander A Balinsky and Anatolij K Prykarpatski*

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.

Keywords:

Published on: Jan 30, 2020 Pages: 1-6

Full Text PDF Full Text HTML DOI: 10.17352/amp.000010
CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat