The algebraic and geometric classification of transposed Poisson algebras
Patrícia Damas Beites, Amir Fernández Ouaridi, Ivan Kaygorodov
2023Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas21 citationsDOIOpen Access PDF
Abstract
Abstract The algebraic and geometric classification of all complex 3-dimensional transposed Poisson algebras is obtained. Also we discuss special 3-dimensional transposed Poisson algebras.
Topics & Concepts
Poisson distributionMathematicsAlgebraic numberPure mathematicsAlgebra over a fieldPoisson algebraPoisson bracketMathematical analysisLie algebraStatisticsAdvanced Topics in AlgebraAlgebraic structures and combinatorial modelsHomotopy and Cohomology in Algebraic Topology