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

Document Type

Conference Proceeding

Publication Date

3-1-2018

Abstract

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 brane algebras, generalizing those studied before by Novikov-Balinsky and Gelfand-Dorfman. Illustrative examples of Lie and Balinsky-Novikov algebras are discussed in detail. The non-associative structures (induced by derivation and endomorphism) of commutative algebras related to Lie and Balinsky-Novikov algebras are described in depth.

Identifier

85090683792 (Scopus)

Publication Title

Topological Algebra and Its Applications

External Full Text Location

https://doi.org/10.1515/taa-2018-0005

e-ISSN

22993231

First Page

43

Last Page

52

Issue

1

Volume

6

This document is currently not available here.

Share

COinS