Gel'fand-Dorfman bialgebras

zbMath1160.17301arXivmath/0008223MaRDI QIDQ1879060

Xiaoping Xu

Publication date: 22 September 2004

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0008223

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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 (7)

Conformal envelopes of Novikov-Poisson algebras ⋮ Extending structures for Gel'fand-Dorfman bialgebras ⋮ On the Special Identities of Gelfand–Dorfman Algebras ⋮ On universal conformal envelopes for quadratic Lie conformal algebras ⋮ Quadratic Lie conformal superalgebras related to Novikov superalgebras ⋮ Novikov commutator algebras are special ⋮ On the Novikov algebra structures adapted to the automorphism structure of a Lie group.

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