Reddit mentions of Lie Algebras In Particle Physics: from Isospin To Unified Theories (Frontiers in Physics)

Sure. If you're looking for something with absolutely no handholding whatsoever, here's what I use as a reference (not that I do much anymore): Howard Georgi's superb book. Though I wouldn't buy it without spending some time with a library copy first.

While /u/PlasticPrison gave an exhaustive list, I would only add one more, which at least in the US is considered a standard on this subject: Lie Algebras in Particle Physics by Georgi.

My understanding is this is the standard

The canonical text. Sorry for the mobile link.

MTW is the classic text on GR (maybe Weinberg's book used to be except its a little dated). Its also ~1000 pages long and not necessarily a best introduction to GR and is expensive. The nice thing about F&N is that its only ~200 pages and gives a nice intro of the subject. (There are other books like Hartle that I am not familiar with).

I'm never really did a GR outside of a grad course taken in undergrad that used F&N. I'm very familiar with many QM books, and strongly recommend Shankar. I enjoyed Zee more than Peskin & Schroeder, though again you need P&S if you want to really learn QFT. And for particle physics Perkins should be a first introduction and he doesn't emphasize the Group Theory/Lie Algebra, which you may be able to get from a book like Georgi's Lie Algebra in Particle Physics.

>I'm really into analysis and I'd imagine that it wouldn't hurt to understand it more technically.

Real analysis is probably the only area of math I never ended up using in grad school.

As mentioned elsewhere, Lie groups are pretty important in theoretical physics. Lie Algebras In Particle Physics is often recommended as a good introduction for physicists.