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Column orthogonality for Brauer characters
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Algebra
Representation theory
Modular representation theory
Brauer character
Brauer character inner product
Duality of simple and projective Brauer characters
2026-10-03
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For
p-regular elements
g
,
h
,
∑
S
χ
S
(
g
−
1
)
χ
P
S
(
h
)
=
{
∣
C
G
(
g
)
∣
0
g
and
h
are conjugate
,
otherwise
,
(1)
where
S
ranges over the
simple modules
and
P
S
is the
projective cover
of
S
.
Ancestors
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Duality of simple and projective Brauer characters
Brauer character inner product
Brauer character
Modular representation theory
Representation theory
Algebra
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 138
/
2
/
d
/
Solution
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