Cover Image

On finite-dimensional homogeneous Lie algebras of derivations of polynomial rings

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Arzhantsev, Ivan, Gaifullin, Sergey, Lopatkin, Viktor
Format:	Preprint
Published:	2024
Subjects:	Rings and Algebras Primary 17B05, 17B70, Secondary 17B40, 17B66
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Lie algebras whose derivation algebras are simple
by: Feldvoss, Jörg, et al.
Published: (2025)

Graded Lie algebras of maximal class of type $n$
by: Mattarei, Sandro, et al.
Published: (2019)

Graded Lie algebras of maximal class of type $p$
by: Iusa, Valentina, et al.
Published: (2020)

Maximal dimensional subalgebras of general Cartan type Lie algebras
by: Bell, Jason, et al.
Published: (2023)

The Fibonacci Lie algebra is not finitely presented
by: Kochloukova, Dessislava H., et al.
Published: (2024)

Compatible root graded anti-pre-Lie algebraic structures on finite-dimensional complex simple Lie algebras
by: Bai, Chengming, et al.
Published: (2025)

Generic graded contractions of Lie algebras
by: Kochetov, Mikhail V., et al.
Published: (2025)

Classification of irreducible Harish-Chandra modules over full toroidal Lie algebras and higher-dimensional Virasoro algebras
by: Pal, Souvik
Published: (2022)

Linear models of the exceptional Lie algebra $\mathfrak{e}_8$
by: Cabrera, Yolanda, et al.
Published: (2023)

Maximal subalgebras of the Lie algebra $W_n(\mathbb{K})$
by: Chapovskyi, Y., et al.
Published: (2026)

A family of maximal subalgebras of the Lie algebra~$W_n(K)$
by: Chapovskyi, Y., et al.
Published: (2026)

Derivations of Lie Algebras of Vector Fields in Infinitely Many Variables
by: Bezushchak, Oksana, et al.
Published: (2025)

On quadratic Hom-Lie algebras with twist maps in their centroids and their relationship with quadratic Lie algebras
by: García-Delgado, R., et al.
Published: (2022)

A New Definition of Superbiderivations for Lie Superalgebras
by: Di Bartolo, Alfonso, et al.
Published: (2025)

On Cohomology group of current Lie algebras
by: García-Delgado, R.
Published: (2023)

On the transitivity of Lie ideals and a characterization of perfect Lie algebras
by: Souris, Nikolaos Panagiotis
Published: (2024)

Graded anti-pre-Lie algebraic structures on Witt and Virasoro algebras
by: Bai, Chengming, et al.
Published: (2025)

Transposed Poisson structures on solvable Lie algebras with filiform nilradical
by: Abdurasulov, Kobiljon, et al.
Published: (2024)

Fibonacci Lie algebra revisited
by: Petrogradsky, Victor
Published: (2024)

Classification of Lie algebras constructed from $\mathfrak{gl}_{m|n}$ via Derived Bracket
by: Figueiredo, Luan
Published: (2026)

On Commuting automorphisms of nilpotent Lie algebras
by: Rani, Shushma, et al.
Published: (2024)

On the non-existence of sympathetic Lie algebras with dimension less than 25
by: Garcia-Pulido, A. L., et al.
Published: (2022)

Invariant Metrics on Nilpotent Lie algebras
by: García-Delgado, R.
Published: (2024)

On simple transposed Poisson algebras
by: Ouaridi, Amir Fernández
Published: (2026)

Homogeneous quadratic Lie super algebras
by: García-Delgado, R.
Published: (2024)

Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$
by: Chapovskyi, Y., et al.
Published: (2025)

Transposed δ-Poisson (super)algebra Structures on the Virasoro-like algebra and its Kantor Lie-double
by: Lin, Jie, et al.
Published: (2025)

Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3
by: Yasumura, Felipe Yukihide
Published: (2022)

On quadratic Lie algebras containing the Heisenberg Lie algebra
by: García-Delgado, R.
Published: (2025)

Non-abelian Extensions of Lie algebras with derivations
by: Jiang, Jun, et al.
Published: (2026)

Representations of Hamiltonian vector fields on a torus
by: Rao, S. Eswara, et al.
Published: (2025)

Lie polynomials in a $q$-deformed universal enveloping algebra of a low-dimensional Lie algebra
by: Cantuba, Rafael Reno S., et al.
Published: (2025)

J-ternary algebras, structurable algebras, and Lie superalgebras
by: Cunha, Isabel, et al.
Published: (2025)

The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra
by: Schneps, Leila
Published: (2025)

Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules
by: Alhussein, Hassan, et al.
Published: (2024)

2-Local derivations on a Block-type Lie algebra
by: Chen, Qiufan, et al.
Published: (2026)

From the Albert algebra to Kac's ten-dimensional Jordan superalgebra via tensor categories in characteristic 5
by: Elduque, Alberto, et al.
Published: (2024)

Quasi-finite modules over affine and extended affine Lie algebras
by: Pal, Souvik
Published: (2023)

From cubic norm pairs to $G_2$- and $F_4$-graded groups and Lie algebras
by: De Medts, Tom, et al.
Published: (2026)

Diameter bounds for finite simple Lie algebras
by: Barbieri, Marco, et al.
Published: (2025)