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Closed dominant Weyl chamber
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Semisimple Lie algebra
Cartan subalgebra
Root-space decomposition
Root system
Fundamental system of a root system
Fundamental chamber of a root system
2026-09-24
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For
a
root
basis
Δ
, the closed dominant chamber is
C
(
Δ
)
=
{
λ
:
⟨
λ
,
α
∨
⟩
≥
0
for every
α
∈
Δ
}
.
(1)
Every Weyl-
group
orbit
meets it in exactly one point.
Ancestors
(13)
Fundamental chamber of a root system
Fundamental system of a root system
Root system
Root-space decomposition
Cartan subalgebra
Semisimple Lie algebra
Lie algebra
Lie theory
Diagonal dominance
Algebra
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 102
/
2
/
c
/
Solution
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