Cox, A. (2007). The tilting tensor product theorem and decomposition numbers for symmetric groups. Algebras and Representation Theory, 10(4), pp. 307-314. doi: 10.1007/s10468-007-9051-8
Abstract
We show how the tilting tensor product theorem for algebraic groups implies a reduction formula for decomposition numbers of the symmetric group. We use this to prove generalisations of various theorems of Erdmann and of James and Williams.
| Publication Type: | Article |
|---|---|
| Publisher Keywords: | tilting tensor product theorem, algebraic group, symmetric group, WEYL MODULES, ALGEBRAIC-GROUPS, HECKE ALGEBRAS, REPRESENTATIONS |
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Mathematics |
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