Books that mix modern physics with algebra and geometry

[Laique94]

Hi
I'm an advanced undergraduate physics student and I'm currently searching books for my career project.
The topic I selected is titled: Algebra and geometry in modern physics.
So I'm currently looking for books that cover modern aspects of physics in a more mathematical approx.
In specific I'm looking for some mathematical books that discuss physics symmetry (theory of groups applied to symmetry, algebra properties of the Poincaré group or gauge transformations, and so on)
Everything that can be related is helpful.
Thanks

 

[smodak]

http://www.springer.com/la/book/9783319192000

 

[vanhees71]

For the Poincare Group have a look at

Weinberg, Quantum Theory of Fields, vol. 1, Cambrige University Press

It's also in my lecture notes on QFT

http://fias.uni-frankfurt.de/~hees/publ/lect.pdf

 

[Brian T]

If you have a good math background check out Geometry, Topology, and Physics by Nakahara

https://www.crcpress.com/Geometry-Topology-and-Physics-Second-Edition/Nakahara/9780750306065