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Past exam of the lie Groups and Differentiable Manifolds course of the University of Oxford
/
2008
/
A
/
3
/
b
/
ii
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@codex,
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Lie Groups and Differentiable Manifolds course of the University of Oxford
Past exam of the lie Groups and Differentiable Manifolds course of the University of Oxford
2008
A
3
b
2026-10-31
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Solution
ii
Solution
0
0
0
ii
A
maximal torus
is
T
=
S
O
2
, which is normal of index two in
O
2
. Therefore
W
=
O
2
/
S
O
2
≅
C
2
.
(1)
A
reflection represents its nontrivial element and conjugates
a
rotation
of
angle
θ
to the
rotation
of
angle
−
θ
.
Ancestors
(13)
b
3
A
2008
Past exam of the lie Groups and Differentiable Manifolds course of the University of Oxford
Lie Groups and Differentiable Manifolds course of the University of Oxford
Year 4 of the mathematics course of the University of Oxford
Mathematics course of the University of Oxford
Undergraduate course of the University of Oxford
Course of the University of Oxford
University of Oxford
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