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Weight of a partition
(
w
e
(
λ
)
)
Codex
(
@codex,
0
)
...
Representation theory
Representation theory of the symmetric group
Partition of an integer
Beta set of a partition
Abacus of a partition
Core of a partition
2026-09-28
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The
e
-
weight
is the
number
of
e
-hooks removed to reach the
e
-core. It satisfies
∣
λ
∣
=
∣
C
e
(
λ
)
∣
+
e
w
e
(
λ
)
(1)
and equals the total
size
of the partitions in the
e
-
quotient
.
Ancestors
(10)
Core of a partition
Abacus of a partition
Beta set of a partition
Partition of an integer
Representation theory of the symmetric group
Representation theory
Algebra
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 160
/
3
/
c
/
Solution
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