TL;DR
This paper introduces numerous new generalizations of Poisson algebras, expanding their construction within the associative algebra of linear transformations over a vector space.
Contribution
The paper presents novel generalizations of Poisson algebras that can be constructed inside associative algebras of linear transformations.
Findings
New classes of Poisson algebra generalizations introduced
Construction methods within associative algebras detailed
Potential applications in algebraic structures discussed
Abstract
We introduce many new generalizations of Poisson algebras which can be constructed inside the associative algebra of linear transformations over a vector space.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology