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Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 102
/
2
/
c
/
Solution
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Past exam of the mathematics course of the University of Cambridge
2019
iii
Paper 102
2
c
2026-10-03
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The
Weyl reflection
formula
s
i
(
β
)
=
β
−
⟨
β
,
α
i
∨
⟩
α
i
, together with the
Cartan matrix
, gives
s
1
s
2
s
3
α
1
−
α
1
α
1
+
α
2
α
1
α
2
α
1
+
α
2
−
α
2
α
2
+
α
3
α
3
α
3
2
α
2
+
α
3
−
α
3
.
(1)
These are
the
images
of every
simple root
under each simple reflection
.
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(11)
c
2
Paper 102
iii
2019
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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