Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 115, 15 pages      arXiv:1405.7122      https://doi.org/10.3842/SIGMA.2014.115
Contribution to the Special Issue on Poisson Geometry in Mathematics and Physics

The Freiheitssatz for Generic Poisson Algebras

Pavel S. Kolesnikov a, Leonid G. Makar-Limanov b and Ivan P. Shestakov c, a
a) Sobolev Institute of Mathematics, 630090, Novosibirsk, Russia
b) Department of Mathematics, Wayne State University, Detroit, MI 48202, USA
c) Instituto de Matematica e Estatí stica, Universidade de São Paulo, 05508-090 São Paulo, Brasil

Received July 29, 2014, in final form December 22, 2014; Published online December 29, 2014

Abstract
We prove the Freiheitssatz for the variety of generic Poisson algebras.

Key words: Freiheitssatz; Poisson algebra; generic Poisson algebra; algebraically closed algebra; polynomial identity; differential algebra.

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