A representation of a Group is a pair consisting of a Vector Space and an Homomorphism . A representation allows us to treat an abstract Group by representing it as a subset of elements in the more familiar context of Vector Spaces.
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A representation (π,V) of a Group G is a pair consisting of a Vector Space V and an Homomorphism π:G→V. A representation allows us to treat an abstract Group G by representing it as a subset of elements in the more familiar context of Vector Spaces.