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Abstract
Let (F, R, k) be a p-modular system, and let denote the centralizer of the symmetric group S
ℓ in the group algebra RS
n
, where ℓ ≤n. We show that the decomposition map of
can be determined from that of the degenerate affine Hecke algebra
of rank n − ℓ. We use this to determine the blocks of
for ℓ =n − 2, n − 3. For each p-core κ, there is an n
0 such that if n > n
0 and E
n
is a block idempotent of RS
n
with core κ, then E
n
E
n−ℓ is zero or a block idempotent of
, for each block idempotent E
n−ℓ of RS
n−ℓ.
2010 Mathematics Subject Classification:
Notes
Communicated by A. Turull.