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Branching of Modular Representations of the Alternating Groups

✍ Scribed by C Bessenrodt; J.B Olsson

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 291 KB
Volume: 209
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7505

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✦ Synopsis

DEDICATED TO GERHARD O. MICHLER ON THE OCCASION OF HIS 60TH BIRTHDAY Based on Kleshchev's branching theorems for the p-modular irreducible representations of the symmetric group and on the recent proof of the Mullineux Conjecture, we investigate in this article the corresponding branching problem for the p-modular irreducible representations of the alternating group A . We obtain n information on the socle of the restrictions of such A -representations to A as n n y1 well as on the multiplicities of certain composition factors; furthermore, irreducible A -representations with irreducible restrictions to A are studied. ᮊ 1998 Aca- n n y1

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