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. AbstractLet 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.
| Keywords: | Blocks; Centraliser Algebras; Degenerate Affine Hecke Algebras; |
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| Subjects: | Science & Engineering > Mathematics |
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| ID Code: | 2157 |
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| Deposited By: | Dr. John Murray |
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| Deposited On: | 07 Oct 2010 14:40 |
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| Journal or Publication Title: | Preprint |
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| Refereed: | No |
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