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Character formula for an induced representation
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Mathematics
Area of mathematics
Algebra
Representation theory
Induced representation
Created
2026-09-24
Updated
2026-10-06
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For
H
≤
G
and an
H
-character
χ
,
(
Ind
H
G
χ
)
(
g
)
=
∣
H
∣
1
∑
x
∈
G
x
−
1
gx
∈
H
χ
(
x
−
1
gx
)
.
(1)
Ancestors
(6)
Induced representation
Representation theory
Algebra
Area of mathematics
Mathematics
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Incoming links
(4)
Conjugacy-class formula for an induced character
Past exam of the introduction to representation theory course of the University of Oxford
/
2023
/
2
/
a
/
Solution
Past exam of the introduction to representation theory course of the University of Oxford
/
2023
/
3
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 160
/
2
/
c
/
Solution
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