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Covering group
In
mathematics
, a
covering group
of a
topological group
H
is a
covering space
G
of
H
such that
G
is a topological group and the covering map
p
:
G
→
H
is a
continuous
group homomorphism
. The map
p
is called the
covering homomorphism
. A frequently occurring case is a
double covering group
, a
topological double cover
in which
H
has
index
2 in
G;
examples include the
Spin groups
,
Pin groups
, and
metaplectic groups
.
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