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Representation Theory

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Multiple Choice

What is a representation of a group?

  1. A homomorphism from the group to the group of invertible linear transformations of a vector space.
  2. A homomorphism from the group to the group of invertible linear transformations of a module.
  3. A homomorphism from the group to the group of invertible linear transformations of a ring.
  4. A homomorphism from the group to the group of invertible linear transformations of a field.