Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
07/11/2013
07/11/2013
2012
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| Resumo |
We prove that any two Poisson dependent elements in a free Poisson algebra and a free Poisson field of characteristic zero are algebraically dependent, thus answering positively a question from Makar-Limanov and Umirbaev (2007) [8]. We apply this result to give a new proof of the tameness of automorphisms for free Poisson algebras of rank two (see Makar-Limanov and Umirbaev (2011) [9], Makar-Limanov et al. (2009) [10]). (C) 2011 Elsevier Inc. All rights reserved. FAPESP [2006/59114-1, 2010/50347-9] NSA [H98230-09-1-0008] NSF [DMS-0904713] United States-Israel Educational Foundation CNPq [305344/2009-9] |
| Identificador |
JOURNAL OF ALGEBRA, SAN DIEGO, v. 349, n. 1, p. 372-379, JAN, 2012 0021-8693 http://www.producao.usp.br/handle/BDPI/43263 10.1016/j.jalgebra.2011.08.008 |
| Idioma(s) |
eng |
| Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE SAN DIEGO |
| Relação |
JOURNAL OF ALGEBRA |
| Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Palavras-Chave | #FREE POISSON ALGEBRAS #AUTOMORPHISMS #CENTRALIZERS #RINGS #MATHEMATICS |
| Tipo |
article original article publishedVersion |
