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Anyone reading Lie Groups and Lie Algebras and Some of Their Applications by Robert Gilmore , might be interested in a series of YouTube videos by "XylyXylyX" that follows the book.
The first lecture is:
The first lecture is:
Is it free?jedishrfu said:
Right, I didn't it think it through.jedishrfu said:If its on Amazon then i doubt it.
Dover likely needs the money as it always publishes books of long ago.
Lie groups are mathematical structures used to study continuous symmetries of objects, while Lie algebras are their associated algebraic structures used to analyze infinitesimal transformations. They are important tools in many areas of mathematics and physics, including differential geometry, representation theory, and quantum mechanics.
Robert Gilmore is a theoretical physicist and professor at Drexel University. He is known for his work in quantum chaos and has written several books on the subject, including "Lie Groups and Lie Algebras."
The book serves as an introduction to the fundamental concepts and applications of Lie groups and Lie algebras. It covers topics such as group theory, representation theory, and the use of Lie groups in physics and other branches of mathematics.
Yes, a basic understanding of linear algebra, calculus, and abstract algebra is necessary to fully comprehend the material in "Lie Groups and Lie Algebras." However, the book is written in a clear and accessible manner, making it suitable for both undergraduate and graduate students.
Lie groups and Lie algebras have a wide range of applications in physics, including in the study of particle physics, quantum mechanics, and general relativity. They are also used in engineering, computer science, and other areas of mathematics such as differential equations and dynamical systems.