Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators

We study algebraic properties of Poisson brackets on non-associative non-commutative algebras, compatible with their multiplicative structure. Special attention is paid to the Poisson brackets of the Lie-Poisson type, related with the special Lie-structures on the differential-topological torus and...

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Bibliographic Details
Main Authors: Artemovych Orest D., Prykarpatski Anatolij K., Blackmore Denis L.
Format: Article
Language:English
Published: De Gruyter 2018-03-01
Series:Topological Algebra and its Applications
Subjects:
Online Access:http://www.degruyter.com/view/j/taa.2018.6.issue-1/taa-2018-0005/taa-2018-0005.xml?format=INT