Transposed Poisson structures
arXiv:2207.00281 · doi:10.1007/s00025-023-02107-x
Abstract
To present a survey on known results from the theory of transposed Poisson algebras, as well as to establish new results on this subject, are the main aims of the present paper. Furthermore, a list of open questions for future research is given.
References in corpus (29)
- On -derivations of Lie algebras and superalgebras
- Degenerations of nilpotent algebras
- Algebraic structures of -manifolds via pre-Lie algebras
- Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras
- Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras
- Transposed Poisson structures on Block Lie algebras and superalgebras
- Poisson Structures on Finitary Incidence Algebras
- On special identities for dialgebras
- Transposed Poisson structures on Witt type algebras
- Hom-Lie structures on Kac-Moody algebras
- Gelfand--Dorfman algebras, derived identities, and the Manin product of operads
- -Superderivations of semisimple finite-dimensional Jordan superalgebras
- The algebraic and geometric classification of transposed Poisson algebras
- Transposed Poisson structures on Galilean and solvable Lie algebras
- A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie-Poisson bialgebras
- Jordan Trialgebras and Post-Jordan Algebras
- The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras
- Transposed Poisson structures on generalized Witt algebras and Block Lie algebras
- Classification of linearly compact simple Nambu-Poisson algebras
- Polynomial identities in Novikov algebras
- On the special identities of Gelfand--Dorfman algebras
- Multiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields
- Degenerations of Filippov algebras
- Transposed Poisson structures on solvable and perfect Lie algebras
- Cohomology Structures of A Poisson Algebra: II
- On the Kantor product, II
- Algebras of Jordan brackets and Generalized Poisson algebras
- On contact brackets on the tensor product
- Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields