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Invariant bilinear form on a Lie algebra
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Mathematics
Area of mathematics
Algebra
Diagonal dominance
Lie theory
Lie algebra
2026-09-28
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A
bilinear form
B
on
a
Lie algebra
is invariant when
B
([
x
,
y
]
,
z
)
=
B
(
x
,
[
y
,
z
])
.
(1)
For
a
symmetric form this says that every
adjoint
map
is
skew
-
adjoint
with
respect
to
B
.
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(7)
Lie algebra
Lie theory
Diagonal dominance
Algebra
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 102
/
1
/
iv
/
Solution
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