Group Theory (Physics): Is It Worth It for Physicists?

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SUMMARY

The discussion centers on the relevance of group theory for physics students, particularly those in their final semester. The participant is currently studying group theory using M.A. Armstrong's textbook but finds the course math-centered and lacking in physics applications such as group representations and Lie groups. Despite initial confusion, they have caught up through self-study and are weighing the value of continuing the course against their tight schedule filled with other complex subjects like differential geometry and particle physics.

PREREQUISITES
  • Understanding of basic group theory concepts
  • Familiarity with M.A. Armstrong's group theory textbook
  • Knowledge of differential geometry
  • Basic principles of particle physics
NEXT STEPS
  • Research the applications of group theory in particle physics
  • Study Lie groups and their significance in theoretical physics
  • Explore representation theory and its relevance to quantum mechanics
  • Consult academic resources on the integration of mathematics and physics
USEFUL FOR

This discussion is beneficial for physics undergraduates, particularly those nearing graduation, who are considering the importance of advanced mathematical concepts like group theory in their future studies and research. It also serves mathematicians interested in the applications of their field within physics.

Grieverheart
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Hello there,i'm at my last semester in physics undergrad.I wanted to get group theory last semester but it I was already full with other subjects and research,so I went this semsester and took the group theory taught in the math department.Well,at first I was totally lost (me and the 2 best math students in class) cause the other students were asking stuff about things I never heard of ,but anyways.Lessons started last thursday we're using M.A.Armstrong's book on group theory and aparently starting about from the middle(ch.13) of it cause the other students already had done the rest.But I did some self-study and caught up and finally am able to understand.

That was some backround info,now to the main subject.Apparently the subject is math-centered,meaning we'll probably not talk a lot(if at all) about group representations,lie groups etc. (stuff which physicists are mostly interested in).Do you think it's worth it for me as a physicist,to continue following the subject?
 
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I am a lowly mathematician, but physics people seem interested in lie theory and representation theory.

[sorry I totally misread your post. If you use armstrong's book it does get to some stuff that even many mathematicians might not be interested in.]
 
Well,I really like math a lot and in another situation I wouldn't mind to follow the subject but I'm at my last semester,doing research and I already have lots of fun but maybe somewhat difficult subjects like differential geometry,particle physics etc. and my schedule is very tight.Thus,I would prefer even studying group theory on my own if the subject as discribed above is of no use to me as a physicist.

An opinion from fellow physicist which have had group theory would be helpful.In any case I'll also try to consult some of my proffessors.
 

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