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Additional
trivial representation
English Wikipedia - The Free Encyclopedia
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Trivial representation
In the
mathematical
field of
representation theory
, a
trivial representation
is a
representation
of a
group
G
on which all elements of
G
act as the
identity mapping
of
V
. A trivial
representation
of an
associative
or
Lie algebra
is a (
Lie
)
algebra representation
for which all elements of the algebra act as the zero
linear map
(
endomorphism
) which sends every element of
V
to the
zero vector
.
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