Transposed Poisson structures on Galilean and solvable Lie algebras
From MaRDI portal
Publication:2696128
DOI10.1016/j.geomphys.2023.104781OpenAlexW4320914997MaRDI QIDQ2696128
Zerui Zhang, Viktor Lopatkin, I. B. Kaĭgorodov
Publication date: 6 April 2023
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.00264
Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Poisson algebras (17B63) Nonassociative algebras satisfying other identities (17A30)
Related Items (7)
Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras ⋮ Transposed Poisson structures ⋮ Transposed Poisson structures on generalized Witt algebras and Block Lie algebras ⋮ Transposed Poisson structures on solvable and perfect Lie algebras ⋮ Transposed Poisson structures on Lie incidence algebras ⋮ Transposed Poisson structures on the Lie algebra of upper triangular matrices ⋮ Transposed Poisson structures on Witt type algebras
Cites Work
- Structure of the planar Galilean conformal algebra
- Erratum to ``On \(\delta\)-derivations of Lie algebras and superalgebras
- Conformal Galilei algebras, symmetric polynomials and singular vectors
- Dynamical realization of l-conformal Galilei algebra and oscillators
- On \(\delta\)-derivations of Lie algebras
- Super-biderivations on the 2d supersymmetric Galilean conformal algebra
- \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras
- Transposed Poisson structures on Block Lie algebras and superalgebras
- Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras
- Poisson structures for canonical algebras
- Quiver Poisson algebras
- \(\delta\)-superderivations of semisimple finite-dimensional Jordan superalgebras
- On simple modules over conformal Galilei algebras
- Comments on Galilean conformal field theories and their geometric realization
- On unitary ray representations of continuous groups
- Poisson structures on finitary incidence algebras
- The algebraic and geometric classification of transposed Poisson algebras
- Intertwining operators for ℓ-conformal Galilei algebras and hierarchy of invariant equations
- Aspects of infinite dimensional ℓ-super Galilean conformal algebra
- Realizations of Galilei algebras
- A note on the Chevalley–Eilenberg cohomology for the Galilei and Poincaré algebras
- Nonrelativistic conformal groups
- Biderivations of the planar Galilean conformal algebra and their applications
- Super-Galilean conformal algebra in AdS/CFT
- Introduction to Lie Algebras and Representation Theory
- Generalized conformal pseudo-Galilean algebras and their Casimir operators
- Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras
This page was built for publication: Transposed Poisson structures on Galilean and solvable Lie algebras