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Comprehending the best-developed theory of continuous symmetry of mathematical objects and structures, Lie Groups, a differentiable manifold group, is a must for you which is important for contemporary mathematics and modern theoretical physics.

This [course_title] will help you know the various theories emphasizing on the relationships with vector fields, Exponential mapping, Lie Subgroups & Lie subalgebras and differentiate invariant forms and results about cohomology of Lie Groups.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: MIT

Course Curriculum

Elementary Differential Geometry 00:20:00
Lie Groups and Lie Algebras i 00:20:00
Lie Groups and Lie Algebras ii 00:25:00
Exercises and Further Results i 00:25:00
Exercises and Further Results ii 00:25:00
Solutions to Exercises 00:25:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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