Faithful representation

Faithful representation

In mathematics, especially in the area of abstract algebra known as representation theory, a faithful representation ρ of a group "G" on a vector space "V" is a linear representation in which different elements "g" of "G" are represented by distinct linear mappings ρ("g").

In more abstract language, this means that the group homomorphism

:ρ: "G" → "GL"("V")

is injective.

ee also

*Faithful module

References


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