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Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Volume 15, Issue 3 (2021)

Commentary Pages: 1 - 1

Methods for Solving a System of Linear Equations

Dragan Obradovic , Lakshmi Narayan Mishra , Vishnu Narayan Mishra

The content of the system of linear equations makes it an interesting matter that can also be further expanded and deepened. The three methods most commonly used to solve systems of equations are substitution, elimination, and extended matrices. Replacement and elimination are simple methods that can efficiently solve most systems of two equations in a few direct steps. The extended matrix method requires several steps, but its application extends to a number of different systems. The elimination method is useful when the coefficient of one of the variables is equal (or its negative equivalent) in all equations.

Research Pages: 1 - 3

Notes on Semi-Simplicity of a Lie Algebra of Isometries

Manelo Anona

The Lie algebra of isometries of dimension superior than or equal to three is semi-simple if and only if the horizontal nullity space of the Nijenhuis tensor of the canonical connection is reduced to zero and the derivative ideal coincides with algebra.

Commentary Pages: 1 - 1

Fock Space of Level infinity and Characters of Vertex Operators

Mohammad Reza Rahmati*

We present an extension of partition function of open Gromov Witten theory of CY 3-folds defined by the trace of an extended vertex operator and give a Representation theoretic interpretation of the trace of the vertex operator involved. Specifically, we consider a twist of the vertex operator with infinitely many Casimir operators. We extend the definition of the Fock space of level l, to let the level to be infinity. We prove a duality between gl∞ and a∞ = gl∞ of Howe type, which provides a decomposition of F∞ into irreducible representations obtained from joint highest weight vector for gl∞ and a∞. The decomposition of the Fock space F∞ into highest weight representations provide a method to calculate and interpret the extended trace. Alternatively, the trace can be interpreted as the character of a representation of gl(∞|∞) on the self-tensor product F ⊗ F of the ordinary Fock space. Thinking of the character as a super-trace we give another calculation as a result.

Editorial Pages: 1 - 1

An Insight: Spruce budworm outbreak model

Olivia Gray

The spruce budworm (Choristoneura fumiferana) is one of the most harmful invasive insects in the Eastern United States and Canada's spruce and fir forests. The majority of the time, the number of budworms remains minimal. However, every forty years or so, the population of budworms grows to large proportions, wreaking havoc on the forest and killing many trees before returning to pre-explosion stages. These outbreaks seem to have occurred on a daily basis for hundreds, if not thousands, of years, according to evidence.
Techinal Note Pages: 1 - 1

Cordial Welcome to Authors for Submission of Manuscript

Jessica Brown

Firstly, we would like to extend our warm gratitude to the Editors of this Open Access Journal. Journal of Generalized Lie Theory and Application has collaboration with more than 20 eminent Researchers and is successfully publishing quality articles in the field of general science. We are using an Editorial Tracking System for quality in peer review process which is an online manuscript submission, review and tracking systems. Review processing is performed by the editorial board members of the Journal or outside experts; at least two independent reviewers approval followed by editor approval is required for acceptance of any citable manuscript.
Techinal Note Pages: 1 - 1

Cordial welcome to participate as Editor for Journal of Generalized Lie Theory and Applications

Alice Johnson

Firstly, we would like to extend our warm gratitude to the Editors of this Open Access Journal. Journal of Generalized Lie Theory and Application has collaboration with more than 25 eminent Editors and is successfully publishing quality articles in the field of general science. We are using an Editorial Tracking System for quality in peer review process which is an online manuscript submission, review and tracking systems.
Techinal Note Pages: 1 - 1

Cordial welcome to participate as Reviewer for Journal Generalized Lie Theory and Applications

Alice Johnson

Firstly, we would like to extend our warm gratitude to the Editors of this Open Access Journal. Journal of Generalized Lie Theory and Applications has collaboration with more than 30 eminent Reviewers and is successfully publishing quality articles in the field of mathematics. We are using an Editorial Tracking System for quality in peer review process which is an online manuscript submission, review and tracking systems.
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