Traffic Network and Optimization a Future Subscriber’s Mobile Telecom...
J Allami, H Ez-Zahraouy, A Benyoussef. Source: Journal of Generalized Lie Theory and Applications, Volume 9, Number 1, 6 pages.Abstract: In this work, we studied the behavior and mobility of telecom...
View ArticleFour-Dimensional Nilpotent Diassociative Algebras
W Basri, IS Rakhimov, IM Rikhsiboev. Source: Journal of Generalized Lie Theory and Applications, Volume 9, Number 1, 6 pages.Abstract: The paper is devoted to structural properties of diassociative...
View ArticleThe $m$-Derivations of Distribution Lie Algebras
Princy Randriambololondrantomalala. Source: Journal of Generalized Lie Theory and Applications, Volume 9, Number 1, 6 pages.Abstract: Let $M$ be a N-dimensional smooth differentiable manifold. Here, we...
View ArticleHelgason-Schiman Formula for Semisimple Lie Groups of Arbitrary Rank
UN Bassey, OO Oyadare. Source: Journal of Generalized Lie Theory and Applications, Volume 9, Number 1, 6 pages.Abstract: This paper extends the Helgason-Schiffman formula for the H-function on a...
View ArticleNoncommutative Geometry and Dynamical Models on $U(u(2))$ Background
D Gurevich, P Saponov. Source: Journal of Generalized Lie Theory and Applications, Volume 9, Number 1, 10 pages.Abstract: In our previous publications we have introduced a differential calculus on the...
View ArticleA∞-Algebras Derived from Associative Algebras with a Non-Derivation Differential
Kaj Borjeson. Source: Journal of Generalized Lie Theory and Applications, Volume 9, Number 1, 5 pages.Abstract: Given an associative graded algebra equipped with a degree $+1$ differential Δ we define...
View ArticleConstructive Approach to Three Dimensional Sklyanin Algebras
Natalia Iyudu. Source: Journal of Generalized Lie Theory and Applications, Volume 8, Number 1, 2 pages.Abstract: A three dimensional Sklyanin is the quadratic algebra over a field $\mathbb{k}$ with 3...
View ArticleThe Normal Ordering Procedure and Coherent State of the Q-Deformed...
Won Sang Chung. Source: Journal of Generalized Lie Theory and Applications, Volume 8, Number 1, 6 pages.Abstract: In this paper we discuss the normal ordering procedure of the q-deformed generalized...
View ArticleModules Over Color Hom-Poisson Algebras
Ibrahima Bakayoko. Source: Journal of Generalized Lie Theory and Applications, Volume 8, Number 1, 6 pages.Abstract: In this paper we introduce color Hom-Poisson algebras and show that every color...
View ArticleRepresentations of Six-dimensional Mubarakazyanov Lie algebras
G Thompson, C Hettiarachchi, N Jones, A Shabanskaya. Source: Journal of Generalized Lie Theory and Applications, Volume 8, Number 1, 10 pages.Abstract: A corrected list of the Mubarakzyanov algebras,...
View ArticleExamples of Freudenthal-Kantor triple systems
Noriaki Kamiya. Source: Journal of Generalized Lie Theory and Applications, Volume 8, Number 1, 5 pages.Abstract: Symmetry group of Lie algebras and superalgebras constructed from (ϵ,δ)...
View ArticleGeneralized Lie Algebroids and Connections over Pair of Diffeomorphic Base...
Constantin M. Arcus¸. Source: Journal of Generalized Lie Theory and Applications, Volume 7, Number 1, 32 pages.Abstract: Extending the definition of Lie algebroid from one base manifold to a pair of...
View ArticleInfinitesimal Deformations of the Model ${\mathbb{Z}_3}$-Filiform Lie Algebra
Rosa María Navarro. Source: Journal of Generalized Lie Theory and Applications, Volume 7, Number 1, 11 pages.Abstract: In this work, it is considered that the vector space is composed by the...
View ArticleInfinitesimal Deformations of the Model $\mathbb{Z}-3$-Filiform Lie Algebra
Navarro Rosa MaríaSource: J. Gen. Lie Theory Appl., Volume 7, 11 pages.Abstract: In this work, it is considered that the vector space is composed by the infinitesimal deformations of the model...
View ArticleGeneralized Lie algebroids and connections over pair of diffeomorphic base...
Arcuş Constantin M.Source: J. Gen. Lie Theory Appl., Volume 7, 32 pages.Abstract: Extending the definition of Lie algebroid from one base manifold to a pair of diffeomorphic base manifolds, we obtain...
View ArticleDynamical Yang-Baxter Maps Associated with Homogeneous Pre-Systems
Noriaki Kamiya, Youichi ShibukawaSource: J. Gen. Lie Theory Appl., Volume 5, 9 pages.Abstract: We construct dynamical Yang-Baxter maps, which are set-theoretical solutions to a version of the quantum...
View ArticleGeometry of Noncommutative k-Algebras
Arvid SiqvelandSource: J. Gen. Lie Theory Appl., Volume 5, 12 pages.Abstract: Let X be a scheme over an algebraically closed field k, and let $x\in\operatorname{Spec} R\subseteq X$ be a closed point...
View ArticlePhase Spaces and Deformation Theory
Olav Arnfinn LaudalSource: J. Gen. Lie Theory Appl., Volume 5, 18 pages.Abstract: We have previously introduced the notion of non-commutative phase space (algebra) associated to any associative...
View ArticleDeformations of Complex 3-Dimensional Associative Algebras
Alice Fialowski, Michael Penkava, Mitch PhillipsonSource: J. Gen. Lie Theory Appl., Volume 5, 22 pages.Abstract: We study deformations and the moduli space of 3-dimensional complex associative...
View ArticleMeanders and Frobenius Seaweed Lie Algebras
Vincent Coll, Anthony Giaquinto, Colton MagnantSource: J. Gen. Lie Theory Appl., Volume 5, 5 pages.Abstract: The index of a seaweed Lie algebra can be computed from its associated meander graph. We...
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