The algebraic classification and degenerations of nilpotent Poisson algebras
DOI10.1016/j.jalgebra.2022.10.018OpenAlexW4307647124MaRDI QIDQ2099259
Amir Fernández Ouaridi, Maria Elisabete Félix Barreiro Carvalho, Hani Abdelwahab, Antonio Jesús Calderón Martín
Publication date: 23 November 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.10.018
Noncommutative algebraic geometry (14A22) Group actions on varieties or schemes (quotients) (14L30) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Fibrations, degenerations in algebraic geometry (14D06) Poisson algebras (17B63) Solvable, nilpotent (super)algebras (17B30) Nonassociative algebras satisfying other identities (17A30)
Cites Work
- Unnamed Item
- Unnamed Item
- Classification of five-dimensional nilpotent Jordan algebras
- The classification of \(n\)-dimensional non-Lie Malcev algebras with \((n-4)\)-dimensional annihilator
- Six-dimensional nilpotent Lie algebras
- The algebraic and geometric classification of nilpotent bicommutative algebras
- Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
- Varieties of nilpotent Lie algebras of dimension less than six
- A characterization of orbit closure and applications
- Classification of nilpotent Malcev algebras of small dimensions over arbitrary fields of characteristic not 2
- Classical \(r\)-matrices and compatible Poisson structures for Lax equations on Poisson algebras
- Deformation quantization of Poisson manifolds
- Poisson deformations of symplectic quotient singularities
- The algebraic and geometric classification of nilpotent anticommutative algebras
- The algebraic and geometric classification of nilpotent terminal algebras
- The classification of nilpotent Lie-Yamaguti algebras
- The algebraic and geometric classification of antiassociative algebras
- The algebraic and geometric classification of Zinbiel algebras
- Non-associative central extensions of null-filiform associative algebras
- Central extensions of 4-dimensional binary Lie algebras
- Degenerations of nilpotent algebras
- The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras
- Degenerations of Jordan superalgebras
- Poisson algebras via model theory and differential-algebraic geometry
- Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
- Algebras with one operation including Poisson and other Lie-admissible algebras
- Poisson structures on finitary incidence algebras
- The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four
- The Zariski cancellation problem for Poisson algebras
- Poisson cohomology and quantization.
- Degenerations of 6-dimensional nilpotent lie algebras over C
- Double Poisson algebras
- 2-Nilpotent and Rigid Finite Dimensional Algebras
- Symplectic geometry
- Classification of nilpotent associative algebras of small dimension
- The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator
- Degenerations of Zinbiel and nilpotent Leibniz algebras
- The classification of N-dimensional non-associative Jordan algebras with (N − 3)-dimensional annihilator
- Degenerations of binary Lie and nilpotent Malcev algebras
- Degenerations of Jordan Algebras and “Marginal” Algebras
- Compatible Poisson brackets associated with 2‐splittings and Poisson commutative subalgebras of S(g)
- On a conjecture about solvability of symmetric Poisson algebras
- The classification of 2-dimensional rigid algebras
- The Variety of Two-dimensional Algebras Over an Algebraically Closed Field
- The algebraic and geometric classification of nilpotent binary Lie algebras
- CLASSIFICATION OF ORBIT CLOSURES IN THE VARIETY OF THREE-DIMENSIONAL NOVIKOV ALGEBRAS
- Central extensions of filiform associative algebras
This page was built for publication: The algebraic classification and degenerations of nilpotent Poisson algebras
