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Additional
spin representation
English Wikipedia - The Free Encyclopedia
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Spin representation
In
mathematics
, the
spin representations
are particular
projective representations
of the
orthogonal
or
special orthogonal groups
in arbitrary
dimension
and
signature
(i.e., including
indefinite orthogonal groups
). More precisely, they are
representations
of the
spin groups
, which are
double cover
s of the special orthogonal groups. They are usually studied over the
real
or
complex numbers
, but they can be defined over other
field
s.
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