The Freiheitssatz for Generic Poisson Algebras

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

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2014
Hauptverfasser: Kolesnikov, P.S., Makar-Limanov, L.G., Shestakov, I.P.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2014
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/146402
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:The Freiheitssatz for Generic Poisson Algebras / P.S.Kolesnikov, L.G.Makar-Limanov, I.P. Shestakov // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Kolesnikov, P.S.
Makar-Limanov, L.G.
Shestakov, I.P.
author_facet Kolesnikov, P.S.
Makar-Limanov, L.G.
Shestakov, I.P.
citation_txt The Freiheitssatz for Generic Poisson Algebras / P.S.Kolesnikov, L.G.Makar-Limanov, I.P. Shestakov // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 23 назв. — англ.
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container_title Symmetry, Integrability and Geometry: Methods and Applications
description We prove the Freiheitssatz for the variety of generic Poisson algebras.
first_indexed 2025-12-07T18:10:30Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-07T18:10:30Z
publishDate 2014
publisher Інститут математики НАН України
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spelling Kolesnikov, P.S.
Makar-Limanov, L.G.
Shestakov, I.P.
2019-02-09T11:09:24Z
2019-02-09T11:09:24Z
2014
The Freiheitssatz for Generic Poisson Algebras / P.S.Kolesnikov, L.G.Makar-Limanov, I.P. Shestakov // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 23 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 17A30; 17B63; 17A50
DOI: http://dx.doi.org/10.3842/SIGMA.2014.116
https://nasplib.isofts.kiev.ua/handle/123456789/146402
We prove the Freiheitssatz for the variety of generic Poisson algebras.
This paper is a contribution to the Special Issue on Poisson Geometry in Mathematics and Physics. The full collection is available at http://www.emis.de/journals/SIGMA/Poisson2014.html
 P. Kolesnikov was partially supported by FAPESP (grant 2012/04704-0) and RFBR (12-01-
 33031), L. Makar-Limanov acknowledges the support of FAPESP (grant 2011/52030-5), and
 I. Shestakov was supported by FAPESP (grant 2010/50347-9) and CNPq (grant 3305344/2009-
 9). L. Makar-Limanov and I. Shestakov gratefully acknowledge Max-Planck-Institut f¨ur Mathematics,
 L. Makar-Limanov is also grateful to the University of Michigan and the Weizmann
 Institute of Science. The authors are grateful to Alexei Ovchinnikov for valuable discussions
 and to the referees for important remarks that helped to improve the exposition
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
The Freiheitssatz for Generic Poisson Algebras
Article
published earlier
spellingShingle The Freiheitssatz for Generic Poisson Algebras
Kolesnikov, P.S.
Makar-Limanov, L.G.
Shestakov, I.P.
title The Freiheitssatz for Generic Poisson Algebras
title_full The Freiheitssatz for Generic Poisson Algebras
title_fullStr The Freiheitssatz for Generic Poisson Algebras
title_full_unstemmed The Freiheitssatz for Generic Poisson Algebras
title_short The Freiheitssatz for Generic Poisson Algebras
title_sort freiheitssatz for generic poisson algebras
url https://nasplib.isofts.kiev.ua/handle/123456789/146402
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