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Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 102
/
4
/
b
/
Solution
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Past exam of the mathematics course of the University of Cambridge
2019
iii
Paper 102
4
b
2026-10-03
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For the
B2 root system
with
α
1
short, the
positive roots
are
α
1
,
α
2
,
α
1
+
α
2
,
2
α
1
+
α
2
.
(1)
Substituting
λ
=
a
ω
1
+
b
ω
2
into the
Weyl dimension formula for B2
gives
dim
V
(
a
ω
1
+
b
ω
2
)
=
6
(
a
+
1
)
(
b
+
1
)
(
a
+
b
+
2
)
(
a
+
2
b
+
3
)
.
(2)
Ancestors
(11)
b
4
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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