The final answer is: $\boxed\mathbbZ$
The representation of SO(2) can be written as:
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The visual geometry of group representations. Grand Unification: Exploring and the exceptional groups. Tips for Solving Zee’s Problems Independently
Take Zee’s Problem I.4.3 (Chapter 1, finite groups): “Show that the regular representation of a finite group contains each irreducible representation a number of times equal to its dimension.” The final answer is: $\boxed\mathbbZ$ The representation of
These matrices satisfy the group properties:
The final answer is: $\boxedSO(2)$
1.1. Show that the set of integers with the operation of addition forms a group.
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