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I have recently been reading Intro to Lie algebras and representation theory by Humphreys, and when I am finished I am interested in reading about Lie groups and Lie algebras and their applications to particle physics.

Is there a book that assumes basic knowledge of Lie algebras, and no knowledge of lie groups and particle physics/quantum mechanics?

I have seen Howard Georgi's book, but it assumes good knowledge of particle physics.

In addition, I do not know differential geometry.

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    $\begingroup$ @Qmechanic I think this question can be taken as not the question about Lie groups/algebras books, but as the question about particle physics books. Then it is not duplicate (or a duplicate of some other question). $\endgroup$
    – firtree
    Commented Aug 21, 2014 at 16:26
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    $\begingroup$ I would like to mention (1) Halzen, Martin Quarks and Leptons, which shows use of Lie groups and representations in particle physics (no background needed), and (2) Rubakov Classical Theory of Gauge Fields, which shows use of Lie groups/algebras and reps in the quantum theory of fields (mostly on simplest classical level). Here familiarity with SR, electrodynamics and Lagrangian formalism is assumed. $\endgroup$
    – firtree
    Commented Aug 21, 2014 at 16:35
  • $\begingroup$ Yeah, I was basically looking for particle physics books that apply these concepts, but just don't assume knowledge of Lie groups, but assume knowledge of Lie algebras. $\endgroup$
    – dylan7
    Commented Aug 21, 2014 at 17:01
  • $\begingroup$ Seems to me that groups are of more use than algebras without groups. But the notion of group is very simple - it is the exponentiation of an algebra. I don't think you will have problems readind these books. $\endgroup$
    – firtree
    Commented Aug 21, 2014 at 17:12

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