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Adjoint irreducibility of a simple Lie algebra
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Diagonal dominance
Lie theory
Lie algebra
Lie algebra homomorphism
Lie algebra representation
Adjoint representation of a Lie algebra
Created
2026-09-24
Updated
2026-09-24
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Every
invariant subspace
of the
Adjoint representation of a Lie algebra
is an
ideal
. Hence the
adjoint
representation of
a
Simple Lie algebra
is irreducible.
Ancestors
(10)
Adjoint representation of a Lie algebra
Lie algebra representation
Lie algebra homomorphism
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
/
2026
/
iii
/
Paper 302
/
3
/
d
/
Solution
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