Characteristics of General Linear Group of Order 2 as Lie Group and Lie Algebra

Authors

  • Md Shapan Miah Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
  • Khondokar M Ahmed Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
  • Salma Nasrin Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh

DOI:

https://doi.org/10.3329/dujs.v71i1.65277

Keywords:

Lie Groups, Lie Algebras, Vector fields, Left Invariant, ψ -related vector fields, General Linear Groups, Manifolds.

Abstract

The main target of this article is to study about Lie Groups, Lie Algebras. This article will enrich our knowledge about Algebraic properties of manifolds, how Lie Groups and Lie Algebras are working with their properties. Finally, we have discussed an example by showing all the properties of Lie Algebra,Lie Groups for a special Group and a Theorem has established.

Dhaka Univ. J. Sci. 71(1): 82-86, 2023 (Jan) 

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Published

2023-05-29

How to Cite

Miah, M. S. ., Ahmed, K. M., & Nasrin, S. (2023). Characteristics of General Linear Group of Order 2 as Lie Group and Lie Algebra. Dhaka University Journal of Science, 71(1), 82–86. https://doi.org/10.3329/dujs.v71i1.65277

Issue

Vol. 71 No. 1 (2023)

Section

Articles