Group Representation
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A group representation is a mathematical group action on a vector space.
Group representation is a college-level concept that would be first encountered in an abstract algebra course covering group theory.
Prerequisites
| Group: | A mathematical group is a set of elements and a binary operation that together satisfy the four fundamental properties of closure, associativity, the identity property, and the inverse property. |
| Group Action: | A group action is the association of each of a mathematical group's elements with a permutation of the elements of a set. |
| Vector Space: | A vector space is a set that is closed under finite vector addition and scalar multiplication. The basic example is n-dimensional Euclidean space. |