How useful is abstract algebra in physics?

No.12397497 ViewReplyOriginalReport
I'm thinking of going the way of the theorist and it is at this point that i must choose whether I want to take even more analysis clases and learn about shit like Sobolev spaces, weak differentiation and rigorous chaoes theory and topology or take some abstract algebra courses and learn whatever there is to know about groups, rings and shit like that.

Would you reccomend that I take at least a class on abstract algebra or should i just focus on the one track analysis mind?