Character of a linear representation
From Groupprops
This term makes sense in the context of a linear representation of a group, viz an action of the group as linear automorphisms of a vector space
This article gives a basic definition in the following area: linear representation theory
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Definition
Definition in terms of linear representation as a homomorphism
Let be a group and
be a finite-dimensional linear representation over a field
. Then, the character of
is the composite
where
is the trace map from
to
.