Bilinear forms on Novikov algebras

DOI10.1023/A:1014249321964zbMath0995.17002OpenAlexW77207768MaRDI QIDQ1597513

Dao Ji Meng, Cheng-Ming Bai

Publication date: 30 May 2002

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014249321964

zbMATH Keywords

Poisson bracketsconserved quantitieshydrodynamic typepseudo-Riemannian connections

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Nonassociative algebras satisfying other identities (17A30)

Related Items (6)

On Real Simple Left-symmetric Algebras ⋮ Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality ⋮ A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups ⋮ LEFT-SYMMETRIC BIALGEBRAS AND AN ANALOGUE OF THE CLASSICAL YANG–BAXTER EQUATION ⋮ A FURTHER STUDY ON NON-ABELIAN PHASE SPACES: LEFT-SYMMETRIC ALGEBRAIC APPROACH AND RELATED GEOMETRY ⋮ Symmetric Novikov superalgebras

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