NDLI: Central simple Poisson algebras

Content Provider	Springer Nature Link
Author	Su, Yucai Xu, Xiaoping
Copyright Year	2004
Abstract	Poisson algebras are fundamental algebraic structures in physics and symplectic geometry. However, the structure theory of Poisson algebras has not been well developed. In this paper, we determine the structure of the central simple Poisson algebras related to locally finite derivations, over an algebraically closed field of characteristic zero. The Lie algebra structures of these Poisson algebras are in general not finitely-graded.
Starting Page	245
Ending Page	263
Page Count	19
File Format	PDF
ISSN	10069283
Journal	Science in China Series A: Mathematics
Volume Number	47
Issue Number	2
e-ISSN	18622763
Language	English
Publisher	Science Press
Publisher Date	2008-04-02
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	Poisson algebra locally-finite operator derivation finitely-graded isomorphism class Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Central simple Poisson algebras