This article is cited in 4 papers

Normal forms of Poisson structures

O. V. Lychagina

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)

Abstract: In the paper, formal normal forms of Poisson structures are found. As a consequence, obstructions to the formal linearization of Poisson structures are obtained, which gives a generalization of the Weinstein linearization theorem. Lie–Sklyanin algebras corresponding to Poisson structures with trivial linearization are introduced and studied as well.

UDC: 514.763.85

Received: 22.01.1996

DOI: 10.4213/mzm1495

 English version: Mathematical Notes, 1997, 61:2, 180–192

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