Representation Theory

Graduate Texts in Mathematics #129

by William Fulton, Joe Harris

New

Genres: Mathematics, Textbooks, Stem, Physics, Theory

Paperback

First published October 22, 1991

Reviews

[Joseph · Rating 4 out of 5]

This is a really good book.

[J · Rating 3 out of 5]

It was nice for a while because of all the concrete examples, but why doesn't the book prove anything? Even the proofs that are there are often kind of sloppy and miss important details. It's good for getting the general feel for the representation theory of semisimple Lie algebras (the sl3 example is really nice and you really get a great overall picture from studying it) but not good as a standalone textbook, you'll need another book to give you understandable proofs.

[Ethan Jensen · Rating 4 out of 5]

There’s no way this is a ‘first course’. It does have great appendices to help though. It is the undisputed best book on representation theory, but I think it’s possible for someone to come along and do better.

[Matthew Zhang · Rating 5 out of 5]

a bit off topic but very well written :)

[Lulu]

Lie groups, Lie algebras and their representations