Locally nilpotent derivations and Nagata-type utomorphisms of a polynomial algebra

Autor:	Yu. V. Bodnarchuk, P. H. Prokof’ev
Rok vydání:	2009
Předmět:	Algebra Filtered algebra Mathematics::Commutative Algebra General Mathematics Lie algebra Current algebra Locally nilpotent Algebra representation Universal enveloping algebra Nilpotent group Graded Lie algebra Mathematics
Zdroj:	Ukrainian Mathematical Journal. 61:1199-1214
ISSN:	1573-9376 0041-5995
DOI:	10.1007/s11253-010-0271-4
Popis:	We study locally nilpotent derivations belonging to a Lie algebra sa n of a special affine Cremona group in connection with the root decompositions of sa n relative to the maximum standard torus. It is proved that all root locally nilpotent derivations are elementary. As a continuation of this research, we describe two- and three-root derivations. By using the results obtained by Shestakov and Umirbaev, it is shown that the exponents of almost all obtained three-root derivations are wild automorphisms of a polynomial algebra in three variables.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::092d2f45817a7c9dd3688d8115025ac9 https://doi.org/10.1007/s11253-010-0271-4 Zobrazit plný text záznamu Plný text ve formátu PDF