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 (15)
- Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras
- Transposed Poisson structures on Block Lie algebras and superalgebras
- Poisson Structures on Finitary Incidence Algebras
- Transposed Poisson structures on Witt type algebras
- 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
- The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras
- Transposed Poisson structures on generalized Witt algebras and Block Lie algebras
- Polynomial identities in Novikov algebras
- On the special identities of Gelfand--Dorfman algebras
- Degenerations of Filippov algebras
- Transposed Poisson structures on solvable and perfect Lie algebras
- On the Kantor product, II
- On contact brackets on the tensor product