Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Hom–Jordan–Malcev–Poisson algebras
View through CrossRef
UDC 512.5
We provide and study a Hom-type generalization of Jordan–Malcev–Poisson algebras called Hom–Jordan–Malcev–Poisson algebras. We show that they are closed under twisting by suitable self-maps and give a characterization of admissible Hom–Jordan–Malcev–Poisson algebras. In addition, we introduce the notion of pseudo-Euclidian Hom–Jordan–Malcev–Poisson algebras and describe its $T^*$-extension. Finally, we generalize the notion of Lie–Jordan–Poisson triple system to the Hom setting and establish its relationships with Hom–Jordan–Malcev–Poisson algebras.
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Title: Hom–Jordan–Malcev–Poisson algebras
Description:
UDC 512.
5
We provide and study a Hom-type generalization of Jordan–Malcev–Poisson algebras called Hom–Jordan–Malcev–Poisson algebras.
We show that they are closed under twisting by suitable self-maps and give a characterization of admissible Hom–Jordan–Malcev–Poisson algebras.
In addition, we introduce the notion of pseudo-Euclidian Hom–Jordan–Malcev–Poisson algebras and describe its $T^*$-extension.
Finally, we generalize the notion of Lie–Jordan–Poisson triple system to the Hom setting and establish its relationships with Hom–Jordan–Malcev–Poisson algebras.
Related Results
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
The purpose of this paper is to study the $\mathcal{O}$-operators on Malcev algebras and discuss the solutions of Malcev Yang-Baxter equation by $\mathcal{O}$-operators. Furthe...
Central invariants and enveloping algebras of braided Hom-Lie algebras
Central invariants and enveloping algebras of braided Hom-Lie algebras
Let (H,?) be a monoidal Hom-Hopf algebra and HH HYD the Hom-Yetter-Drinfeld
category over (H,?). Then in this paper, we first introduce the definition
of braided Hom-Lie alge...
Symmetric Hom–Leibniz algebras
Symmetric Hom–Leibniz algebras
Abstract
This paper focuses on quadratic Hom–Leibniz algebras, defined as (left or right) Hom–Leibniz algebras equipped with symmetric, non-degenerate, and invariant bilinear fo...
3-Hom–Lie Yang–Baxter Equation and 3-Hom–Lie Bialgebras
3-Hom–Lie Yang–Baxter Equation and 3-Hom–Lie Bialgebras
In this paper, we first introduce the notion of a 3-Hom–Lie bialgebra and give an equivalent description of the 3-Hom–Lie bialgebras, the matched pairs and the Manin triples of 3-H...
Differential graded vertex Lie algebras
Differential graded vertex Lie algebras
This is the continuation of the study of differential graded (dg) vertex algebras defined in our previous paper [Caradot et al., “Differential graded vertex operator algebras and t...
Preface: phys. stat. sol. (b) 244/3
Preface: phys. stat. sol. (b) 244/3
AbstractThis is the 2nd special issue of physica status solidi (b) dedicated to materials exhibiting negative Poisson's ratio (auxetic) or other unusual or counter‐intuitive physic...
5-Dimensional Malcev-Like Algebras
5-Dimensional Malcev-Like Algebras
Abstract
The five-dimensional anti-commutative algebras having an analogous family of flags of subalgebras as the solvable Malcev algebras form the class of Malcev-like a...
Influence of Poisson Effect of Compression Anchor Grout on Interfacial Shear Stress
Influence of Poisson Effect of Compression Anchor Grout on Interfacial Shear Stress
Abstract
The distribution and magnitude of the shear stress at the interface between the grout of a compression anchor rod and rock are strongly affected by the Poisson eff...