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

DOI10.1515/taa-2018-0005zbMath1433.17004OpenAlexW2795996719WikidataQ115235745 ScholiaQ115235745MaRDI QIDQ1748097

Orest D. Artemovych, Anatoliy K. Prykarpatsky, D. L. Blackmore

Publication date: 2 May 2018

Published in: Topological Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/taa-2018-0005

zbMATH Keywords

Lie algebraendomorphismderivationLie-Poisson structureBalinsky-Novikov algebrabrane algebrapre-Poisson bracketstorus-algebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Other nonassociative rings and algebras (17D99)

Related Items (2)

Compatible left-symmetric algebraic structures on high rank Witt and Virasoro algebras ⋮ Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. I

Cites Work

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• Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems
• Domaines bornés homogènes et orbites de groupes de transformations affines
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