Poisson Structures on Finitary Incidence Algebras

Abstract

We give a full description of the Poisson structures on the finitary incidence algebra $FI(P,R)$ of an arbitrary poset $P$ over a commutative unital ring $R$.

References in corpus (3)

• Deformation quantization of Poisson manifolds, I
• Classical $\mathbf{r}$-Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras
• Higher Derivations of Finitary Incidence Algebras

Cited by in corpus (5)

• Transposed Poisson structures on Block Lie algebras and superalgebras
• Transposed Poisson structures on Witt type algebras
• Transposed Poisson structures on Galilean and solvable Lie algebras
• Non-associative algebraic structures: classification and structure
• Transposed Poisson structures