I am looking for a problem-and-solutions book that deals with group theory topics that are important in physics. Some topics I am looking for are as follows.

(1) Group Representations

(2) Representations of the Symmetry group

(3) Continuous groups

(4) Lorentz and Poincare groups

  • 2
    $\begingroup$ Try the exercises in Wu Ki Tungs book, even if there is no solution manual. $\endgroup$
    – DanielC
    Sep 25 '21 at 0:45
  • $\begingroup$ Possible duplicates: physics.stackexchange.com/q/6108/2451 and links therein. $\endgroup$
    – Qmechanic
    Sep 25 '21 at 19:14

Consider the book Group Theory in Physics - Problems and Solutions by Michael Aivazis. Here is the table of contents.

(1) Basic group theory

(2) Group Representations

(3) General properties of Irreducible Vectors and Operators

(4) Representations of the Symmetry group

(5) 1 - D Continuous groups

(6) SO(3)

(7) SU(2) and SO(3)

(8) Euclidean groups

(9) Lorentz and Poincare groups

(10) Space Inversion

(11) Time Reversal

(12) Finite dimensional representations of the classical group


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