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...
Main Authors: | Artemovych Orest D., Prykarpatski Anatolij K., Blackmore Denis L. |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2018-03-01
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Series: | Topological Algebra and its Applications |
Subjects: | |
Online Access: | https://doi.org/10.1515/taa-2018-0005 |
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