Hi, I'm a physics and math major looking to do a senior project in math. My advisor (an algebraist) suggested suggested I do something Lie algebras since he said they have plenty of applications in modern physics. What are some of those applications? (outside of particle physics and string theory) Is it better, at this level, to do a project on the math only where I would would get a fundamental background in the subject without looking at the physics and leave learning about the physics applications to grad school? Or, is it better / more productive at this level, to relate it to some problem or area in physics?