Cover Image

A note on simplicity of contact Lie algebras over GF(2)

In this note we investigate the structure of contact Lie algebras when the ground field is of characteristic 2. In order to describe the simple constituent of contact Lie algebras, by using computer algebra system, GAP, we make a conjecture which says that the quotient algebra of contact Lie algebra...

Full description

Saved in:

Bibliographic Details
Published in:	Algebra and Discrete Mathematics
Date:	2017
Main Author:	Zargeh, C.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2017
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/156644
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	A note on simplicity of contact Lie algebras over GF(2) / C. Zargeh // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 331-336. — Бібліогр.: 11 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Similar Items

A note on strongly split Lie algebras
by: Calderón, Martín A. J., et al.
Published: (2018)

Poisson estimates of the distribution of the rank of a random matrix over the field GF(2)
by: Masol, V.I., et al.
Published: (2006)

On the sum of an almost abelian Lie algebra and a Lie algebra finite-dimensional over its center
by: Petravchuk, A. P., et al.
Published: (1999)

Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
by: Fuchs, D., et al.
Published: (2008)

Lie algebras associated with modules over polynomial rings
by: A. P. Petravchuk, et al.
Published: (2017)

Lie algebras associated with modules over polynomial rings
by: Petravchuk, A. P., et al.
Published: (2017)

Middle-sectioned simplices in a four-dimensional affine space
by: Reznikova, Yu. S., et al.
Published: (2007)

ARPES on high-temperature superconductors: simplicity vs. complexity
by: Kordyuk, A.A., et al.
Published: (2006)

Leibniz Algebras and Lie Algebras
by: Mason, G., et al.
Published: (2013)

α-Stratified modules over the Lie algebra $\text{sl} (n, ℂ)$
by: Mazorchuk, V. S., et al.
Published: (1993)

Solvable Lie Algebras of Vector Fields and a Lie's Conjecture
by: Grabowska, Katarzyna, et al.
Published: (2020)

On Gradings Modulo 2 of Simple Lie Algebras in Characteristic 2
by: Krutov, A., et al.
Published: (2018)

Simple Vectorial Lie Algebras in Characteristic 2 and their Superizations
by: Bouarroudj, Sofiane, et al.
Published: (2020)

Leibniz algebras with absolute maximal Lie subalgebras
by: Biyogmam, G. R., et al.
Published: (2020)

Leibniz algebras with absolute maximal Lie subalgebras
by: Biyogmam, G.R., et al.
Published: (2020)

Inner automorphisms of Lie algebras related with generic 2 × 2 matrices
by: V. Drensky, et al.
Published: (2012)

Inner automorphisms of Lie algebras related with generic 2 × 2 matrices
by: Drensky, V., et al.
Published: (2012)

A simple note on the Yoneda (co)algebra of a monomial algebra
by: E. Herscovich
Published: (2021)

A simple note on the Yoneda (co)algebra of a monomial algebra
by: Herscovich , E., et al.
Published: (2021)

On a Lie Algebraic Characterization of Vector Bundles
by: B.A. Lecomte, P., et al.
Published: (2012)

Realizations of affine Lie algebras
by: Futorny, Vyacheslav
Published: (2018)

Realizations of affine Lie algebras
by: Futorny, V.
Published: (2005)

On Deformations and Contractions of Lie Algebras
by: Fialowski, A., et al.
Published: (2006)

On Lie Algebroids and Poisson Algebras
by: García-Beltrán, D., et al.
Published: (2012)

The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2)
by: Masol, V.I., et al.
Published: (2006)

О величинах gf спектральных линий некоторых двухатомных молекул
by: Кузнецова, Л.А., et al.
Published: (1996)

Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation
by: Jiang, Jun, et al.
Published: (2020)

A Note on Multi-Oriented Graph Complexes and Deformation Quantization of Lie Bialgebroids
by: Morand, Kevin
Published: (2022)

Inner automorphisms of Lie algebras related with generic \(2\times 2\) matrices
by: Drensky, Vesselin, et al.
Published: (2018)

The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras
by: Abdelwahab, Hani, et al.
Published: (2024)

A note on invariant submanifolds of (k, μ)-contact manifolds
by: Avik De
Published: (2010)

A note on invariant submanifolds of $(k, μ)$-contact manifolds
by: Avik, De, et al.
Published: (2010)

\((\mathcal{T}_{\textsf {Lie}})\)-Leibniz algebras and related properties
by: Tcheka, C., et al.
Published: (2024)

A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra
by: Choi, C., et al.
Published: (2021)

Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
by: Sushchansky, V.I., et al.
Published: (2005)

Метод непосредственного умножения элементов конечного поля GF(2m) с использованием логических функций
by: Кубицкий, В.И., et al.
Published: (2014)

Automorphic equivalence of the representations of Lie algebras
by: Shestakov, I., et al.
Published: (2018)

Automorphic equivalence of the representations of Lie algebras
by: I. Shestakov, et al.
Published: (2013)

Flags of subalgebras in contracted Lie algebras
by: D. R. Popovych
Published: (2021)

Automorphic equivalence of the representations of Lie algebras
by: Shestakov, I., et al.
Published: (2013)