Basic Concept of Lie Groups

International Journal of Mathematics Trends and Technology (IJMTT)
© 2021 by IJMTT Journal
Volume-67 Issue-4
Year of Publication : 2021
Authors : Mukesh Kumar Choudhary, Dr. S. Biswas


MLA Style: Mukesh Kumar Choudhary, Dr. S. Biswas  "Basic Concept of Lie Groups" International Journal of Mathematics Trends and Technology 67.4 (2021):62-66. 

APA Style: Mukesh Kumar Choudhary, Dr. S. Biswas(2021). Basic Concept of Lie Groups International Journal of Mathematics Trends and Technology, 62-66.

Lie groups is an intersection of two fundamental fields of mathematics: algebra and geometry. Lie groups is a first of all the group and secondly it is a smooth manifold which is a specific kind of geometric objects. The circle and the sphere are example of smooth manifolds. A circle has a continuous group of symmetries. You can rotate the circle an arbitrarily small amount and it looks the same. Finally, we can say that A Lie group is a group of symmetries where the symmetries are continuous.


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Keywords : History of lie group, Definition of Lie group, Classification of Lie group, Importance of Lie groups