Introduction to Lie Algebras, by Karin Erdmann and me, was published in It is based on 4th year courses given by the authors in Oxford. As such, it is. Request PDF on ResearchGate | Introduction to Lie Algebras | Ideals and Homomorphisms. Karin Erdmann at University of Oxford. View Introduction to Lie Algebras – Karin Erdmann, Mark J. Wildon from IMECC 1 at Unicamp. Springer Undergraduate Mathematics Series Advisory Board.
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Mark Wildon’s Website: Introduction to Lie algebras
Do you want to study solely the algebraic side? With a view towards algebraic groups? As a second introduction to representation theory after finite groups? Or do you want to learn about Lie theory, i.
Lie groups and Lie algebras? Without more information, I would explain what I did when I wanted to learn about Lie algebras. For background, I’ll just say that I was interested in algebraic groups, and later got interested in number theory and automorphic forms and so I then had to go back and learn about Lie groups.
Introduction to Lie Algebras – K. Erdmann, Mark J. Wildon – Google Books
I started with Introduction to Lie algebras by Erdmann and Wildon. This is very hands down, they assume right away that you are working over the complex numbers.
You won’t get quite far with this book it covers the main definitions and gives the structure theorem for semisimple Lie algebrasbut if you do the exercises, you will have a good foundation.
Then I moved to Humphreys’ Introduction to Lie Algebras and Representation Theory which has already been mentioned and is the absolute best. It is more terse than Erdmann and Wildon, and the exercises are more difficult, but it covers more. Then, you might want more heavy-duty stuff. For this, you need some knowledge of topology and differential geometry, i. But this is a very good book, and it covers introductiob wide range of topics.
These free notes by Alistair Savage are an excellent introduction based on Stillwell’s and Hall’s intrkduction. A bit more advanced, erdman inclusive of Stillwell.
Home Questions Tags Users Unanswered. Could you provide some advice and recommend some books? Could you provide some information to why you will be doing this, as that will affect what sort of book will be the most useful. M Turgeon 7, 3 30 And when you get to the classification of semisimple Lie algebras in Humphreys, I wrote a “big-picture” guide to the proof as an answer to math. Naive Lie Theory by Stillwell. You can read it like a Harry Potter storybook.
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reference request – Could you recommend some books on Lie algebra？ – Mathematics Stack Exchange