Reddit reviews Lie Groups, Lie Algebras, and Representations: An Elementary Introduction

J.F. Cornwell, Group theory in physics: an introduction (link)

W. Ludwig, Symmetries in physics: group theory applied to physical problems(link)

M. Tinkham, Group theory and quantum mechanics (link)

W.-K. Tung, Group theory in physics (link)

E.P. Wigner, Group theory and its applications to the quantum mechanics of atomic spectra (link1, link2)

N. Jeevanjee, An Introduction to Tensors and Group Theory for Physicists (link)

G. Costa, Symmetries and Group Theory in Particle Physics: An Introduction to Space-Time and Internal Symmetries (link)

B. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction (link)

R. McWeeny, Symmetry: An Introduction to Group Theory and Its Applications (Dover Books on Physics)(link)

I've just finished going through Brian Hall's Book. I'm just learning these things for the first time, so maybe I just don't have a lot to compare it to, but I thought it was fantastic.

I will say, it's fairly easy. I often times found myself wondering why he was bothering to spell out things in an explicit proof when it was obvious, but as a book I was learning from without lectures, this was actually a good feature. He goes quite slowly so there's time for a self-learning to digest things. I do realize some people find this to be a problem though.

Also he only treats matrix groups, which can be a little bit limiting.