MHB Looking for a new Lie Algebra text

[topsquark]

Right now I'm using "Affine Lie Algebras and Quantum Groups" by Fuchs. I'm getting sick of it. As a Physicist the structure and focus of the text is attractive to me. But, to give one example...

The text constructs two vector spaces: L and Lw. Lw is dual to L. The text goes on to state that [math]L \subset Lw[/math]. As the two spaces are dual this cannot be.

BUT: The next paragraph shows how to interpret this. We can (apparently) define a metric between the two spaces and if we use the metric to compare the space dual to L to Lw then we find that L is a subspace of Lw which given the definitions of both spaces is a completely banal comment and isn't actually needed.

I can't take this kind of presentation any more!

Does anyone know of a decent Lie algebra text? I would appreciate with a Physics bent, but that isn't necessary.

Thanks!

-Dan

 

[Euge]

About a year ago, I posted recommendations for books on lie groups/lie algebras http://mathhelpboards.com/linear-abstract-algebra-14/looking-online-algebra-resource-12409.html#post59081. Have you taken a look at any of the two? If you're not satisfied with those two then I can give you some more recommendations.

 

[topsquark]

About a year ago, I posted recommendations for books on lie groups/lie algebras http://mathhelpboards.com/linear-abstract-algebra-14/looking-online-algebra-resource-12409.html#post59081. Have you taken a look at any of the two? If you're not satisfied with those two then I can give you some more recommendations.

Gah! I forgot I did that. Sorry!

I'll take a fresh look at the list. Thanks!

-Dan