Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Hom-symmetric spaces and Hom-Jordan Hom-symmetric spaces
View through CrossRef
In this paper, we introduce and study the notions of Hom-reflection space and
Hom-symmetric space. We provide some examples of Hom-reflection spaces
(resp. Hom-symmetric spaces) by using ordinary reflection (resp. symmetric)
spaces. Also, we associate a Hom-reflection (resp. Hom-symmetric) space to a
Hom-Lie group. Finally, we provide some properties of a Hom-Jordan algebra
and show that there is a relationship between Hom-Jordan algebras and
Hom-symmetric spaces.
Title: Hom-symmetric spaces and Hom-Jordan Hom-symmetric spaces
Description:
In this paper, we introduce and study the notions of Hom-reflection space and
Hom-symmetric space.
We provide some examples of Hom-reflection spaces
(resp.
Hom-symmetric spaces) by using ordinary reflection (resp.
symmetric)
spaces.
Also, we associate a Hom-reflection (resp.
Hom-symmetric) space to a
Hom-Lie group.
Finally, we provide some properties of a Hom-Jordan algebra
and show that there is a relationship between Hom-Jordan algebras and
Hom-symmetric spaces.
Related Results
Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras
Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras
The aim of this work is to introduce and study the notions of Hom-pre-Jordan algebra and Hom-J-dendriform algebra which generalize Hom-Jordan algebras. Hom-pre-Jordan algebras are ...
Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation
Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation
In this paper, we introduce the notion of a (regular) Hom-Lie group. We associate a Hom-Lie algebra to a Hom-Lie group and show that every regular Hom-Lie algebra is integrable. Th...
A bialgebra theory for Compatible Hom-Lie algebras
A bialgebra theory for Compatible Hom-Lie algebras
In this paper, we introduce the notions of matched pairs and Manin triple for compatible Hom-Lie algebras. Then, we give a bialgebra theory of compatible Hom-Lie algebras wi...
A Touch of Space Weather - Outreach project for visually impaired students
A Touch of Space Weather - Outreach project for visually impaired students
<p><em><span data-preserver-spaces="true">'A Touch of Space Weather' is a project that brings space weather science into...
Hom-pre-Poisson superalgebras and Dual Hom-pre-Poisson superalgebras
Hom-pre-Poisson superalgebras and Dual Hom-pre-Poisson superalgebras
Abstract
In this research paper, we investigate the concept of Hom-superalgebras obtained by an internal law defined on ℤ2-graded vector space A equipped with an algebra mo...
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...
Algèbres Hom-Nambu quadratiques et Cohomologie des algèbres Hom-Nambu-Lie multiplicatives
Algèbres Hom-Nambu quadratiques et Cohomologie des algèbres Hom-Nambu-Lie multiplicatives
Dans le premier chapitre de la thèse, nous résumons d’abord les définitions des algèbres Hom-Nambu n-aires (resp. Hom-Nambu- Lie) et algèbres Hom-Nambu n-aires multiplicatives (res...
Fuzzy Hom-Groups: A New Perspective on Algebraic Generalization
Fuzzy Hom-Groups: A New Perspective on Algebraic Generalization
Fuzzy algebraic structures extend classical algebra to model uncertainty, while Hom-groups introduce a twisting map α that modifies associativity and identity conditions. This pape...