Free Poisson fields and their automorphisms
2016 ◽
Vol 15
(10)
◽
pp. 1650196
◽
Keyword(s):
Let [Formula: see text] be an arbitrary field of characteristic [Formula: see text]. We prove that the group of automorphisms of a free Poisson field [Formula: see text] in two variables [Formula: see text] over [Formula: see text] is isomorphic to the Cremona group [Formula: see text]. We also prove that the universal enveloping algebra [Formula: see text] of a free Poisson field [Formula: see text] is a free ideal ring and give a characterization of the Poisson dependence of two elements of [Formula: see text] via universal derivatives.
2016 ◽
Vol 59
(5)
◽
pp. 849-860
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Keyword(s):
2010 ◽
Vol 138
(09)
◽
pp. 3135-3135
◽
2009 ◽
Vol 86
(1)
◽
pp. 1-15
◽
1998 ◽
Vol 26
(3-4)
◽
pp. 247-271
◽
2009 ◽
Vol 20
(03)
◽
pp. 339-368
◽