Blocks of Centraliser Algebras and Degenerate Affine Hecke Algebras
Ellers, Harald and Murray, John (2010) Blocks of Centraliser Algebras and Degenerate Affine Hecke Algebras. Preprint . pp. 1-16.
Let k be a _eld and let l < m be positive integers. We compute the blocks of the centralizer of the symmetric group _l in the group algebra k_m, for m l _ 3. We also determine the possible decomposition matrices of these blocks. Our proof uses formal characters of degenerate a_ne Hecke algebras and abacus combinatorics.
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