We introduce a dual notion of the Poisson algebra, called the transposed Poisson algebra,
by exchanging the roles of the two binary operations in the Leibniz rule defining the Poisson …

The algebraic and geometric classification of transposed Poisson algebras | Revista de la Real
Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Skip to main content …

arXiv:2306.00425v2 [math.RA] 1 Nov 2023 Page 1 Communications in Mathematics 32 (2024),
no. 3, 1–62 DOI: https://doi.org/10.46298/cm.11419 ©2024 Ivan Kaygorodov This is an open …

Poisson structures on finitary incidence algebras - ScienceDirect Skip to main contentSkip to
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Let X be a finite connected poset, K a field of characteristic zero and I (X, K) the incidence
algebra of X over K seen as a Lie algebra under the commutator product. In the first part of …

Abstract We generalize the Skjelbred–Sund method, used to classify nilpotent low-
dimensional Lie algebras, in order to classify Poisson algebras with non-trivial annihilator …

The notions of transposed Hom-Poisson and Hom-pre-Lie Poisson algebras are introduced.
Their bimodules and matched pairs are defined and the relevant properties and theorems …

Various coordinate rings of varieties appearing in the theory of Poisson Lie groups and
Poisson homogeneous spaces belong to the large, axiomatically defined class of symmetric …

Hrushovski's generalization and application of Jouanolou (1978)[9] is here refined and
extended to the partial differential setting with possibly nonconstant coefficient fields. In …

A differential-algebraic geometric analogue of the Dixmier–Moeglin equivalence is
articulated, and proven to hold for D-groups over the constants. The model theory of …