Central simple Poisson algebras

zbMath1124.17302arXivmath/0011086MaRDI QIDQ1777547

Xiaoping Xu, Yucai Su

Publication date: 23 May 2005

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0011086

zbMATH Keywords

derivationPoisson algebrafinitely-graded, isomorphism class.locally-finite operator

Mathematics Subject Classification ID

Poisson algebras (17B63) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

DG Poisson algebra and its universal enveloping algebra ⋮ Hamiltonian type Lie bialgebras ⋮ Twisted Hamiltonian Lie algebras and their multiplicity-free representations

Cites Work

• New simple infinite-dimensional Lie algebras of characteristic 0
• Classification of infinite-dimensional simple linearly compact Lie superalgebras
• Generalized Poisson brackets and Lie algebras of type \(H\) in characteristic 0
• Derivation-simple algebras and the structures of Lie algebras of Witt type
• New generalized simple Lie algebras of Cartan type over a field with characteristic 0
• DESCRIPTION OF FILTERED LIE ALGEBRAS WITH WHICH GRADED LIE ALGEBRAS OF CARTAN TYPE ARE ASSOCIATED
• Lie superalgebras

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