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Searching for More General Weight Conjectures, Using the Symmetric Group as an Example

✍ Scribed by Harald Ellers

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 180 KB
Volume: 225
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8127

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✦ Synopsis

IN MEMORY OF MICHIO SUZUKI

Let k be a field of characteristic p, and let S be the symmetric group of degree n n. Assume that n -3 p. Let A be the centralizer in kS of kS

. We find all n n y1 simple A-modules, and relate the number of non-projective simple A-modules to p-local information.

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