Math 2.0

Concept

Faithful representation

Summary

In mathematics, especially in an area of abstract algebra known as representation theory, a faithful representation ρ of a group GG on a vector space VV is a linear representation in which different elements gg of GG are represented by distinct linear mappings ρ(g)\rho(g). In more abstract language, this means that the group homomorphism ρ:G→GL(V)\rho: G\to GL(V) is injective (or one-to-one).

Further reading

  1. Wikipedia, page 2617872, revision 1343245842, Faithful representation. adopted
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