summary: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
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we...
AbstractLet k be an arbitrary field of characteristic 0. It is shown that for any n⩾1 the universal ...
We study the Zariski cancellation problem for Poisson algebras in three variables. In particular, we...
summary:Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson b...
summary:Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson b...
AbstractLet k be an arbitrary field of characteristic 0. It is shown that for any n⩾1 the universal ...
This work contains a brief and elementary exposition of the foundations of Poisson and symplectic ge...
AbstractWe prove the Freiheitssatz for Poisson algebras in characteristic zero. We also give a new p...
Let K be a field of characteristic 0 and let C be a commutative K-algebra. A Poisson bracket on C is...
AbstractBasic results for an algebraic treatment of commutative and noncommutative Poisson algebras ...
International audienceEmphasizing the role of Gerstenhaber algebras and of higher derived brackets i...
International audienceEmphasizing the role of Gerstenhaber algebras and of higher derived brackets i...
International audienceWe introduce the notion of quadratic (resp. symplectic quadratic) Poisson alge...
We use local symplectic Lie groupoids to construct Poisson integrators for generic Poisson structure...
A Poisson algebra is a commutative algebra with a Lie bracket {, } satisfying the Leibniz rule. Such...
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we...
AbstractLet k be an arbitrary field of characteristic 0. It is shown that for any n⩾1 the universal ...
We study the Zariski cancellation problem for Poisson algebras in three variables. In particular, we...
summary:Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson b...
summary:Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson b...
AbstractLet k be an arbitrary field of characteristic 0. It is shown that for any n⩾1 the universal ...
This work contains a brief and elementary exposition of the foundations of Poisson and symplectic ge...
AbstractWe prove the Freiheitssatz for Poisson algebras in characteristic zero. We also give a new p...
Let K be a field of characteristic 0 and let C be a commutative K-algebra. A Poisson bracket on C is...
AbstractBasic results for an algebraic treatment of commutative and noncommutative Poisson algebras ...
International audienceEmphasizing the role of Gerstenhaber algebras and of higher derived brackets i...
International audienceEmphasizing the role of Gerstenhaber algebras and of higher derived brackets i...
International audienceWe introduce the notion of quadratic (resp. symplectic quadratic) Poisson alge...
We use local symplectic Lie groupoids to construct Poisson integrators for generic Poisson structure...
A Poisson algebra is a commutative algebra with a Lie bracket {, } satisfying the Leibniz rule. Such...
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we...
AbstractLet k be an arbitrary field of characteristic 0. It is shown that for any n⩾1 the universal ...
We study the Zariski cancellation problem for Poisson algebras in three variables. In particular, we...
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