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Lie subalgebra
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Mathematics
Area of mathematics
Algebra
Diagonal dominance
Lie theory
Lie algebra
Created
2026-09-28
Updated
2026-10-03
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A
Lie subalgebra
is
a
vector subspace
closed under the
Lie bracket
.
Table of contents
Normalizer of a Lie subalgebra
Lie subalgebra
Normalizer of a Lie subalgebra
(
N
L
(
H
)
)
0
0
0
Lie subalgebra
The
normalizer
of
a
Lie subalgebra
H
⊆
L
is
N
L
(
H
)
=
{
x
∈
L
:
[
x
,
H
]
⊆
H
}
.
(1)
It is the largest
Lie subalgebra
of
L
in which
H
is an
ideal of a Lie algebra
.
Ancestors
(7)
Lie algebra
Lie theory
Diagonal dominance
Algebra
Area of mathematics
Mathematics
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