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Young symmetrizer
noun
(mathematics)
An
element
of
the
group
algebra
of
the
symmetric
group,
constructed
in
such
a
way
that,
for
the
homomorphism
from
the
group
algebra
to
the
endomorphisms
of
a
vector
space
V^(⊗n)
obtained
from
the
action
of
S_n
on
V^(⊗n)
by
permutation
of
indices,
the
image
of
the
endomorphism
determined
by
that
element
corresponds
to
an
irreducible
representation
of
the
symmetric
group
over
the
complex
numbers.
Younger Futhark
name
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