New Generalizations of Poisson Algebras

2007/07/09 by Liu, Keqin
#17D99 #FOS: Mathematics #Rings and Algebras (math.RA) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.0707.1326

Abstract

We introduce many new generalizations of Poisson algebras which can be constructed inside the associative algebra of linear transformations over a vector space.

Related

• Affinization of algebraic structures: Poisson algebras
• (Transposed) Poisson algebra structures on null-filiform associative algebras
• Non-associative algebras associated to Poisson algebras
• Degenerations of Poisson algebras
• δ-Poisson and transposed δ-Poisson algebras