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A note on Poisson derivations

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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.

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Authors and Affiliations

  1. School of Mathematics, Liaoning university, No. 66 Chongshan Middle Road, 110036 Shenyang, Huanggu, Liaoning, China

    Jiantao Li

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  1. Jiantao Li
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Correspondence to Jiantao Li.

Additional information

This research was supported by NSF of China No. 11526104 and the Youth Research Funds from Liaoning University under Grant No. LDGY2015001.

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Li, J. A note on Poisson derivations. Czech Math J 68, 657–660 (2018). https://doi.org/10.21136/CMJ.2017.0574-16

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  • DOI: https://doi.org/10.21136/CMJ.2017.0574-16

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