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**Editor-in-Chief****Natalia Iyudu**

The University of Edinburgh

United Kingdom

**Editor-in-Chief****Abdenacer Makhlouf**

University of Haute Alsace

France

**Editor-in-Chief****Noriaki Kamiya**

University of Aizu

Japan

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Journal Impact Factor 0.429^{*}; 0.75
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**Journal of Generalized Lie Theory and Applications** is an open access journal that aims to present a platform to publish applications of lie theory, its generalizations and variations. Lie theory is a section of mathematics that relates to various branches of mathematics and physics namely algebra, nonassociative algebras, quasigroups, geometry, mathematical physics, combinatorics, H-spaces and related systems, operad theoretical and cohomological methods, jet theory, number theory and quantum theory. This top best scholarly journal is using Editorial Manager® System for online manuscript submission, review and tracking.

Editorial board members of the **Journal of Generalized Lie Theory and Applicaitons** or outside experts review manuscripts; at least two independent reviewer’s approval followed by the editor is required for the acceptance of any citable manuscript. Journal of Generalized Lie Theory and Applications uses Online Editorialmanager system for submission as well as peer review of manuscripts. The process of reviewing will be done by three reviewers. The decision of the editor will be considered for publication of the article. Journal of Generalized Lie Theory and Applications accepts the following: original articles, reviews, abstracts, book reviews, letters to the editor, case-reports and analyses.

The journal makes use of 'Editorial Manager System' for attaining high quality in the peer-review process. It is an online manuscript submission, review and tracking system.

The peer-review process is mainly performed by the Editorial Board Members of the journal or outside experts; at least two independent reviewers' approval is required, followed by the editor's approval for acceptance of any citable manuscript.

Algebra is a word extracted from Arabic word Al-Jabr. It is a major mathematical part which includes the study of mathematical symbols and some rules related to the symbols. Any mathematics researcher who does work on algebras are said to Algebraist.

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Combinatorics is the study which includes finite or countable discrete structure, a branch of mathematics is known as combinatorics. combinatorialist or combinatorist a mathematician who does research on combinatorics. In computer science to obtain formulas and estimates in the analysis of algorithms combinatorics is used.

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Deformation Theory is the study of infinitesimal conditions related to varying a solution P of a problem to slightly different solutions Pε, where ε is a small number, or vector of small quantities is deformation theory. Problems related to deformation theory appear in various areas of mathematics, in particular in algebra, algebraic and analytic geometry, and mathematical physics

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Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Journal Statistics and Mathematical Sciences, International Journal of Computational Methods, Journal of the Physical Society of Japan, Journal of Applied Mechanics, Acta Applicandae Mathematicae, The Journal of Algebraic Geometry, Journal of Pure and Applied Algebra, Journal of Biometrics & Biostatistics,

Geometry is a kind of game in the playground of mathematics. It should be agreed that it takes major part in mathematics. Geometry in brief can be described as the study of figures in a space of a given number of dimensions and of a given type.

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Harmonic Analysis is a mathematical procedure for explaining and analyzing phenomena of a periodically recurrent nature. Many major problems have been reduced to manageable terms by the technique of breaking complicated mathematical curves into sums of comparatively simple components.

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In algebra and algebraic topology to prove non constructive existence theorems, this homological algebra is used. To perform the actual calculations, it is detailed enough, in important cases.

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The collection of concepts holding the nonabelian aspects of homological algebra along with the abelian aspects as special cases.

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A square holding an n x n array with n different symbols, each symbol occurring only once in a row and once in column. Ex. The mind game Sudoku involves the principle of latin square.

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Journal of Biometrics & Biostatistics, Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Journal Statistics and Mathematical Sciences, IOSR Journal of Mathematics, Journal of Combinatorial Theory, Series A, Mathematics Journal, AUSTRALASIAN JOURNAL OF COMBINATORICS Canadian Journal of Mathematics,

Amongst the areas of mathematics Lie theory got its own prominence which was developed initially by Sophus Lie. Lie theory has been particularly useful in mathematical physics

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Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Journal Statistics and Mathematical Sciences, Journal of Lie Theory, Journal of Generalized Lie Theory and Applications, Mathematical Communications, JP Journal of Algebra, Number Theory and Applications, Journal of Biometrics & Biostatistics

Lie triple systems have natural embeddings into certain canonical Lie algebras, the so-called “standard” and “universal” embeddings, and any Lie triple system can be shown to arise precisely as the −1-eigenspace of an involution (an automorphism which squares to the identity) on some Lie algebra.

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Loop Algebra is a branch of Lie algebra which involves the study of lie algebras of lie groups.

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Operad theory is a field of abstract algebra concerned with prototypical algebras that model properties such as commutativity or anticommutativity as well as various amounts of associativity. Operads generalize the various associativity properties already observed in algebras and coalgebras such as Lie algebras or Poisson algebras by modeling computational trees within the algebra.

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A quantum group is in the first place a remarkably nice object called a Hopf algebra, the axioms for which are so elegant that they were written down in the 1940s well before truly representative examples emerged from physics in the 1980s.

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Journal of Biometrics & Biostatistics, Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms,Transactions of the American Mathematical Society,

Proceedings of the London Mathematical Society, Journal Statistics and Mathematical Sciences, Commentarii Mathematici Helvetici, SIAM Journal on Imaging Sciences, ACM Transactions on Algorithms, Random Structures and Algorithms,

A quasi-group is a natural generalization of the concept of a group. Quasi-groups arise in various areas of mathematics, for example in the theory of projective planes, non-associative division rings, in a number of questions in combinatorial analysis, etc. The term "quasi-group" was introduced by R.

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Representation Theory refers to groups that arise in nature as “sets of symmetries (of an object), which are closed under composition and under taking inverses”. For example, the symmetric group Sn is the group of all permutations (symmetries) of {1,...,n}; the alternating group A n is the set of all symmetries preserving the parity of the number of ordered pairs (did you really remember that one?); the dihedral group D2n is the group of symmetries of the regular n-gon in the plane.

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Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Journal Statistics and Mathematical Sciences, Journal of the American Mathematical Society, Acta Numerica, Inventiones Mathematicae, Publications mathématiques, Acta Mathematica, Communications on Pure and Applied Mathematics, Swarm and Evolutionary Computation, Duke Mathematical Journal ,Archive for Rational Mechanics and Analysis,Journal of the European Mathematical Society, American Journal of Mathematics,Annales Scientifiques de l'Ecole Normale Superieure,Journal fur die Reine und Angewandte Mathematik, Bulletin of the American Mathematical Society,Biometrika, Advances in Mathematics,Mathematical Programming,Statistical Science, Journal of Biometrics & Biostatistics,

In mathematics and theoretical physics, a superalgebra is a Z2-graded algebra. That is, it is algebra over a commutative ring or field with decomposition into "even" and "odd" pieces and a multiplication operator that respects the grading.

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Journal of Biometrics & Biostatistics, Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Journal Statistics and Mathematical Sciences, Israel Journal of Mathematics, Selecta Mathematica, .ACM Transactions on Algorithms, Random Structures and Algorithms, Journal for Research in Mathematics Education, Mathematics of Operations Research, Annali della Scuola Normale - Classe di Scienze, Publications of the Research Institute for Mathematical Sciences, Journal of the London Mathematical Society,

In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a Z2-grading. Lie superalgebras are important in theoretical physics where they are used to describe the mathematics of supersymmetry. In most of these theories, the even elements of the superalgebra correspond to bosons and odd elements to fermions.

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In differential geometry, representation theory and harmonic analysis, a symmetric space is a smooth manifold whose group of symmetries contains inversion symmetry about every point. There are two ways to formulate the inversion symmetry: via Riemannian geometry or via Lie theory. The Lie-theoretic definition is more general and more algebraic.

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Topologies is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects. Tearing, however, is not allowed. A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching) and a sphere is equivalent to an ellipsoid.

**Related Journals of Topologies
**Journal of Biometrics & Biostatistics, Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Journal Statistics and Mathematical Sciences, SIAM Journal on Imaging Sciences, ACM Transactions on Algorithms, Random Structures and Algorithms, Journal for Research in Mathematics Education, Mathematics of Operations Research, Annali della Scuola Normale - Classe di Scienze, Publications of the Research Institute for Mathematical Sciences

A nonassociative algebra obeyed by objects such as the Lie bracket and Poisson bracket. Elements a, b, and c of Lie algebra satisfy [a,a]=0 [a+b,c]=[a,c]+[b,c], and [a,[b,c]]+[b,[c,a]]+[c,[a,b]]=0

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Journal of Biometrics & Biostatistics, Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Journal Statistics and Mathematical Sciences, Inventiones Mathematicae, Publications mathématiques, Acta Mathematica, Communications on Pure and Applied Mathematics, Swarm and Evolutionary Computation, Duke Mathematical Journal ,Archive for Rational Mechanics and Analysis,Journal of the European Mathematical Society, American Journal of Mathematics,Annales Scientifiques de l'Ecole Normale Superieure,Journal fur die Reine und Angewandte Mathematik, Bulletin of the American Mathematical Society,Biometrika, Advances in Mathematics,Mathematical Programming,Statistical Science,Computational Intelligence and Neuroscience,Journal des Mathematiques Pures et Appliquees,Mathematische Annalen

*Unofficial 2015 Journal Impact Factor was established by dividing the number of articles published in 2013 and 2014 with the number of times they are cited in 2015 based on Google search and the Scholar Citation Index database. If 'X' is the total number of articles published in 2013 and 2014, and 'Y' is the number of times these articles were cited in indexed journals during 2015 then, impact factor = Y/X

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