Great videos ! Thank you ! I liked that you kept it on an introductory level and pace. I learned more form these videos than the standard books. The books you recommended though, none is on introductory level. Most are for researchers and experts on the field. I don't know any easy books on this topic, that give examples, etc. Only 1-2 set of notes online perhaps. A kind of more intermediate book is "Lie Groups, Lie Algebras, and Representations", by Brian C. Hall.
@Michael Aristidou: These books are mostly for further reading (assuming you've followed the videos). There wouldn't be much point putting very basic books here, as they'd just cover the same ground at the same sort of level. Having said that, I think most of these books should be useable by someone who has followed these videos. That's not to say they'd be easy or accessible! But to go beyond an introduction, you need to sweat a little... For me, these are the books I used to learn the subject, which was hard work, but fun!
Can't believe you didn't mention "Lie Groups, Lie Algebras and Representations" by Brian C. Hall, it takes the matrix Lie group approach and is very readable for someone relatively new to the field. Stay away from Frank Warner, unless you are already well into differential manifolds, it's NOT a good place to start - believe me, I tried it myself 20 years ago. If you want to learn about smooth manifolds try the book by the same name by John M. Lee.
I want to thank you for these beautiful lectures and that you made it available online. It helped me a lot to get the feeling and understanding of 'in some sense the heart' of Fulton Haris. I would like to mention about the lectures on exceptional Lie groups by Adams.
Perhaps one day, but I make these videos mostly on the basis of what I'm actually teaching at the moment, and I won't be teaching cohomology in the foreseeable future, sadly...
Just finished this playlist!❤ Thanks
Stillwell’s book Naive Lie Theory covers the basics from a slightly more topological approach. It also has the slick proof of BCH theorem.
Thank you for the videos! Watched half of it today - really good stuff. Helps me to get to the details of the Standard Model :)
Great course! Thanks for posting them online.
Great videos ! Thank you ! I liked that you kept it on an introductory level and pace. I learned more form these videos than the standard books.
The books you recommended though, none is on introductory level. Most are for researchers and experts on the field. I don't know any easy books on this topic, that give examples, etc. Only 1-2 set of notes online perhaps. A kind of more intermediate book is
"Lie Groups, Lie Algebras, and Representations", by Brian C. Hall.
@Michael Aristidou: These books are mostly for further reading (assuming you've followed the videos). There wouldn't be much point putting very basic books here, as they'd just cover the same ground at the same sort of level. Having said that, I think most of these books should be useable by someone who has followed these videos. That's not to say they'd be easy or accessible! But to go beyond an introduction, you need to sweat a little... For me, these are the books I used to learn the subject, which was hard work, but fun!
Can't believe you didn't mention "Lie Groups, Lie Algebras and Representations" by Brian C. Hall, it takes the matrix Lie group approach and is very readable for someone relatively new to the field.
Stay away from Frank Warner, unless you are already well into differential manifolds, it's NOT a good place to start - believe me, I tried it myself 20 years ago. If you want to learn about smooth manifolds try the book by the same name by John M. Lee.
I want to thank you for these beautiful lectures and that you made it available online. It helped me a lot to get the feeling and understanding of 'in some sense the heart' of Fulton Haris.
I would like to mention about the lectures on exceptional Lie groups by Adams.
Awesome I like the content keep it up
Awesome! Would you please recomend some basic textbooks to complement your course please? Thank you!
The big face reveal! Nice face.
Do a series on cohomology
Perhaps one day, but I make these videos mostly on the basis of what I'm actually teaching at the moment, and I won't be teaching cohomology in the foreseeable future, sadly...
"Very biased towards the books I know and like." lol
Indeed! If you (the viewers) have other suggestions of books you'd recommend, please make them in the comments: it might help to combat my biases!
face: 25 years old
voice: 80 years old
I'm clearly confused.