A note on Poisson derivations

Jiantao Li

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 3, page 657-660
  • ISSN: 0011-4642

Abstract

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Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson brackets are used to solve many problems in affine algebraic geometry. In this note, we study Poisson derivations on the symplectic Poisson algebra, and give a connection between the Jacobian conjecture with derivations on the symplectic Poisson algebra.

How to cite

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Li, Jiantao. "A note on Poisson derivations." Czechoslovak Mathematical Journal 68.3 (2018): 657-660. <http://eudml.org/doc/294353>.

@article{Li2018,
abstract = {Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson brackets are used to solve many problems in affine algebraic geometry. In this note, we study Poisson derivations on the symplectic Poisson algebra, and give a connection between the Jacobian conjecture with derivations on the symplectic Poisson algebra.},
author = {Li, Jiantao},
journal = {Czechoslovak Mathematical Journal},
keywords = {Poisson algebra; derivation; Jacobian conjecture},
language = {eng},
number = {3},
pages = {657-660},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on Poisson derivations},
url = {http://eudml.org/doc/294353},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Li, Jiantao
TI - A note on Poisson derivations
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 3
SP - 657
EP - 660
AB - Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson brackets are used to solve many problems in affine algebraic geometry. In this note, we study Poisson derivations on the symplectic Poisson algebra, and give a connection between the Jacobian conjecture with derivations on the symplectic Poisson algebra.
LA - eng
KW - Poisson algebra; derivation; Jacobian conjecture
UR - http://eudml.org/doc/294353
ER -

References

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  7. Shestakov, I. P., Umirbaev, U. U., 10.1090/S0894-0347-03-00440-5, J. Am. Math. Soc. 17 (2004), 197-227. (2004) Zbl1056.14085MR2015334DOI10.1090/S0894-0347-03-00440-5
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