Well, I can read German. Are the notes accessible?fresh_42 said:I recently came across a very nice book which exactly addressed your requirements, however and unfortunately, it was a) not a book, but a lecture note (167 pages), and b) in German rather than English. It was the first time I saw the subject presented so clear and comparably easy.
I confused two sources. Correction: It is a book and has 282 pages. But it is free for private use:StenEdeback said:Well, I can read German. Are the notes accessible?
Thank you very much!fresh_42 said:I confused two sources. Correction: It is a book and has 282 pages. But it is free for private use:
https://www.tpi.uni-jena.de/~wipf/lectures/gruppen/gruppenhead.pdf
I liked especially the last two chapters where the bridge between Lie theory and physics is explained.
Lie Group Theory is a branch of mathematics that studies continuous symmetry and transformation groups, particularly in the context of differentiable manifolds.
Lie Group Theory has numerous applications in physics, engineering, and other areas of mathematics. It provides a powerful framework for understanding and analyzing symmetries in various systems.
Some popular introductory books on Lie Group Theory include "Lie Groups, Lie Algebras, and Representations" by Brian C. Hall, "Lie Groups, Physics, and Geometry" by Robert Gilmore, and "Lie Groups, Lie Algebras, and Their Representations" by V.S. Varadarajan.
While a strong foundation in linear algebra and calculus is helpful, many introductory books on Lie Group Theory assume minimal mathematical background and provide clear explanations and examples.
Yes, there are several online resources such as lecture notes, video lectures, and interactive tutorials that offer an introduction to Lie Group Theory. Some recommended sources include the MIT OpenCourseWare, Khan Academy, and the Lie Theory for Beginners website.