The tilting tensor product theorem and decomposition numbers for symmetric groups

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

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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.

Item Type: Article
Uncontrolled Keywords: tilting tensor product theorem, algebraic group, symmetric group, WEYL MODULES, ALGEBRAIC-GROUPS, HECKE ALGEBRAS, REPRESENTATIONS
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/376

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