Add to ORKGIn this paper, we define and study the universal enveloping algebra of a Poisson superalgebra. In particular, a new PBW Theorem for Lie-Rinehart superalgebras is proved leading to a PBW Theorem for Poisson superalgebras, we show the universal enveloping algebra of a Poisson Hopf superalgebra (resp. Poisson-Ore extension) is a Hopf superalgebra (resp. iterated Ore extension), and we study the universal enveloping algebra for interesting classes of Poisson superalgebras such as Poisson symplectic superalgebras.Comment: Reorganization of paper and further improvements to writin
We prove that the Poisson version of the Dixmier-Moeglin equivalence holds for cocommutative a?ne P...
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 ...
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...
We present a class of Poisson structures on trivial extension algebras which generalize some known s...
Abstract. Let A be a co-Poisson Hopf algebra with Poisson co-bracket . Here it is shown that the Hop...
We study Poisson valuations and provide their applications in solving problems related to rigidity, ...
In this article, we use the language of $\mathbb{P}_0$-factorization algebras to articulate a classi...
AbstractA notion of super-Poisson structure in the category of (real) graded manifolds is presented ...
We develop a Poisson geometric framework for studying the representation theory of all contragredien...
In this article the universal Poisson enveloping algebra for a binary-Lie algebra is constructed. Ta...
summary:It is shown how the universal enveloping algebra of a Lie algebra $L$ can be obtained as a f...
summary:It is shown how the universal enveloping algebra of a Lie algebra $L$ can be obtained as a f...
We prove that the Poisson version of the Dixmier-Moeglin equivalence holds for cocommutative a?ne P...
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 ...
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...
We present a class of Poisson structures on trivial extension algebras which generalize some known s...
Abstract. Let A be a co-Poisson Hopf algebra with Poisson co-bracket . Here it is shown that the Hop...
We study Poisson valuations and provide their applications in solving problems related to rigidity, ...
In this article, we use the language of $\mathbb{P}_0$-factorization algebras to articulate a classi...
AbstractA notion of super-Poisson structure in the category of (real) graded manifolds is presented ...
We develop a Poisson geometric framework for studying the representation theory of all contragredien...
In this article the universal Poisson enveloping algebra for a binary-Lie algebra is constructed. Ta...
summary:It is shown how the universal enveloping algebra of a Lie algebra $L$ can be obtained as a f...
summary:It is shown how the universal enveloping algebra of a Lie algebra $L$ can be obtained as a f...
We prove that the Poisson version of the Dixmier-Moeglin equivalence holds for cocommutative a?ne P...
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...
