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Long-root subsystem
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Lie theory
Lie algebra
Semisimple Lie algebra
Cartan subalgebra
Root-space decomposition
Root system
2026-10-03
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The
roots
of maximal
length
in
a
root system
form
a
root
subsystem.
A
chamber for the original system lies in
a
unique chamber for this long-
root
subsystem, because its interior avoids every long-
root
reflecting
hyperplane
.
Ancestors
(11)
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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Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 102
/
5
/
a
/
Solution
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